{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "dcP_fft2MXH3"
      },
      "outputs": [],
      "source": [
        "import scipy.io\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "# !wget http://csegroups.case.edu/sites/default/files/bearingdatacenter/files/Datafiles/98.mat?raw=true\n",
        "# rename the file\n",
        "# !mv 98.mat\\?raw\\=true data.mat\n",
        "# update scipy\n",
        "mat = scipy.io.loadmat('164.mat')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "pHSL_-gB8pQs",
        "outputId": "efe4d8c3-2353-4b31-9b43-13f4ee49d074"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "{'__header__': b'MATLAB 5.0 MAT-file, Platform: PCWIN, Created on: Fri Jan 28 12:34:04 2000', '__version__': '1.0', '__globals__': [], 'X164_DE_time': array([[ 0.16710092],\n",
            "       [ 0.15959077],\n",
            "       [ 0.12850708],\n",
            "       ...,\n",
            "       [ 0.07989969],\n",
            "       [-0.03275262],\n",
            "       [-0.15062031]]), 'X164_FE_time': array([[ 0.04417273],\n",
            "       [-0.04006364],\n",
            "       [-0.03410545],\n",
            "       ...,\n",
            "       [ 0.05567818],\n",
            "       [-0.02157273],\n",
            "       [-0.02650364]]), 'X164RPM': array([[1723]], dtype=uint16)}\n"
          ]
        }
      ],
      "source": [
        "print(mat)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "bVtYNTai89Sn",
        "outputId": "3fbfbead-72cf-432d-f5a6-7184a11d6839"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x12f7e0fa0>]"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# visualization of data 97.mat\n",
        "c1 =np.array( mat[\"X164_FE_time\"])\n",
        "c2 = np.array(mat[\"X164_DE_time\"])\n",
        "c1 = c1[:1600]\n",
        "c1max = np.max(c1)\n",
        "c1min = np.min(c1)\n",
        "c1mean = np.mean(c1)\n",
        "# c1 = (c1 - c1mean)/max(abs(c1 - c1mean))\n",
        "import matplotlib.pyplot as plt\n",
        "plt.plot(range(0,1600),c1[:1600])\n",
        "# print(c1)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "MtaQvkcQSDvt",
        "outputId": "471e5727-a84e-4729-94bc-9f46a451c040"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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ejvDwcERGRnrkefr000/x+eef46677sJ///tfDBgwwDNEq2h0UJmiCpeg1+vx3nvv4ZdffsH06dPx9ttvuxVUbTQaceHCBWRmZqKsrAzdu3dHRESE2wuiV+FFd09PMkV/e6W6guLiYmRlZcFgMKBVq1aIjIxEWFiYW9Jjbm4u3n//faxevRr/+te/8N577yEsLMyDVKtoDHAhVYeKaxlFRUWYP38++vfvj4qKCpw8eRLffPONywyxvLwcp06dwo4dO5CRkYHIyEhMmjQJ119/fWAzREA+MDCA0EDItELbtm0xbNgwTJo0CT169MD58+exY8cOnD59GuXl5S6NGRoaiuXLl+PkyZO4evUq+vbti9dffx1XrlzxMPUqGjJUpqhCEWpqarBo0SL07t0bJ06cwL59+/Drr7+iT58+Lo1XVFSEgwcPIjExEZWVlRg5ciTGjRuHyMjIwLIXyqFvX14XaQmNhnf7DCA0EDJF0bRpU/Ts2RPjx4/HyJEjUVFRgcTERBw8eBCXL192acy+ffti3bp12Lt3L44cOYJevXph8eLFqKmp8TD1KhoiVPWpCofYsWMHXnrpJTRr1gxLly7F7bff7tI4RISCggKkp6ejpKQEkZGR6NWrV2DaCpXCMvm3XPZtW1h6vQB2HjBi6lMHh3iFzEBEZWUlMjIykJmZibZt26Jfv37o1KmTyynfdu3ahTlz5sBkMuHrr792+flW0Ujgl+hIFQ0C2dnZ9MADD1Dr1q3p888/p9raWpfG4TiODAYDabVa2rJlC/3999/WQekNHXo9kVbL/1WCmBgiluUj7BmGbwC/rS7a3jZ4X8EhHicz0FFdXU1nz56lLVu2kFarpQsXLricFKCmpoaWLFlCrVq1oocffpj0jWWSVDgNVVJUYYfq6mosWbIEH374Ie6//34sWrTIJZuhyWSCwWBAeno6OI5Dnz590KNHD7dd7T0CX8QniJ1DzOvFEnUeMLVdupglxfz8pkoOsTqFPy7NXzAajcjOzsb58+fBsiz69u2L7t27u1TdJDc3F/Pnz8emTZvw9ttvY86cOX4rxKzCT/A3V1YRWNi+fTv169ePrrvuOtqzZ49LY3AcR9nZ2bR9+3batWsXZWdnk8lk8jClbsBS7HJG1PLEORIT+W1ybd48K0lx3jzHh2i1/r80f8NkMlF2djbt2rWLtm/fTtnZ2S5Ljn/99RcNGTKEBgwYQDt37vQwpSoCGaqkqAIA7/jy0ksvYfPmzfjggw/w/PPPOy3RERHy8vKQmpoKk8mEgQMHIiwsLLDK+3giPsGRmCR3DkBeUgQAlkXtuXPYcuIEhg6djN69m0LuLZUbWu7SXJH2GkJ4BxHBYDDg7Nmz0Gg0GDRoELp06eL0c1hbW4tvvvkG7777LqZOnYovv/wS7du39xLVKgIFqvepCmzYsAGDBg1CWVkZzp49i5dfftlphlhYWIi9e/fi+PHjiIyMxO23347w8PDAYoiA8/EJBgOg1QIpKfzfxYt5rjBhAv931SrnzhEezkfOC6npxOaH48CcPw8AOHeOEWWIwmGC00x4uHOXtmqV9WUsXmx9mQaD+HQ0hPAOhmHQvXt3TJgwAZGRkTh69Cj27duHoqIip8Zp2rQp5syZg9TUVJSUlGDw4MGIjY31EtUqAgb+FVRV+BOFhYX02GOPUbt27einn35ySdVUXFxMycnJFB8fT2fPnnXZGcdn0OvrdX9C02jEvU8s9YRSTexYJecQvF50unqvGYu+NRkZtHHjRsrIqLEbimX5w2ydZpRemlg/2yalFnVm+gIFNTU1lJqaSnFxcZScnEwlJSVOj8FxHK1Zs4batm1LTzzxBBUVFXmBUhWBAJUpXqPYuHEjdenShaZOnUoXL150+viqqio6evQoxcbG0okTJ6iqqsoLVHoJSuorKeEcQlu/nrcVWnIGZ2o4ifS1tCm6OZT5cgQSlZg1HX0rBEJ5KmdRVVVFJ06coNjYWDp69ChVV1c7PYbBYKApU6ZQaGgoxcbGeoFKFf6GalO8xnD58mW8/PLL2Lx5M7788ks88cQTTqk4iQhZWVlITU1Fhw4dMGTIkIZZ9dyyvhJgb1zTanndoiMwDN9sk4oaDMD+/fy+0aMdG9xs6j3Zxik6Uw7KYACSk3nWNmYMsH27dd7ThQuB11+XN2sK0GqBcePqx7WMkwy08lRKUV5ejpMnT+Ly5csYNGgQIiIinH4H1qxZgzlz5uCee+7B559/jnbt2nmRYhU+hX95sgpfIiEhgUJDQ+nuu++mCxcuOH18UVERabVa2rFjB+Xm5nqBQj9AypVSqY5RRPVJixbZj2kpqimAaJFhGVgOLxXTaEuiIO0pkRQD1ePUHeTm5tKOHTvor7/+osuXLzt9vMFgoMmTJ1O3bt1IK7j/qmjwUJniNYDa2lp6++23KSQkhFasWOG07VBQlcbFxdHZs2fJaDR6iVIfw5GBzFJPaLl/wQKiJUuIli0T5ya2XEjgJMLfxYsdkuYMU1y82Hp4JapRwZy5ZAl/OWKXKfd9EOh2RKUwGo1me6MrKlWO42j58uXUokULeu+99xrPu3ENQ2WKMti9ezfdfffdFBoaSgBow4YNVvvfffdd6t+/P7Vo0YLatm1Lt99+Ox04cMCqT0REBAGwah9//LFVn5UrV1KPHj1o2LBhdse7C4PBQLfddhsNHDiQTpw44dSxHMdRZmYmbd68mQ4cOEBlZWUepc3vkDKuWX71WzrEaLXWHEhMDFPaFi2SJU0pU1y0yPlTMwzRrFn2fNryMi0ZnpJpaugoKyujAwcO0ObNmykrK8vpD8djx45R//79afz48S5pYVzFxx9/TABo9uzZ5m1jx461W3NmzZplddymTZuob9++1K9fP4qLi/MZvQ0BKlOUwZYtW2jBggX0559/ijLFn3/+mXbu3Ennz5+nU6dO0YwZM6h169ZUUFBg7hMREUHvv/8+5ebmmpslc8nOzqY+ffrQ/v376ffff6eBAwd6jP7NmzdTx44d6emnn3aaoZWXl9O+ffto+/btjUdVagtnRSBnnG8cNZYVP0+dHtTS+1RK66rXu86T5VSl7k5TQ0Zubi5t27aNkpKSqLy83KljS0tL6V//+hd16tSJtm3b5iUK66HT6SgyMpKGDh1qxxSfffZZqzXH0uO2qqqKwsPDaefOnbRjxw4KDw93yemosUJligohxhRtUVJSQgBo165d5m0RERG0dOlSyWNOnjxJUVFRVFZWRhkZGRQZGek2rTU1NTR//nxq2bIl/fjjj04dK0iH8fHxdPTo0caVo1QMSl0p9Xqihx/2DAcSmq3XqoXhjmNZWjv+HWJZzsxDbT1J163zLDkPPyzN6Bqqx6krqKmpoSNHjlB8fDxlZmY6LTX+8MMP1LJlS3rjjTe89v6UlpZS3759aefOnTR27Fg7pmj52xYlJSUUERFBly5dokuXLlFkZCRdvXrVK3Q2RKhMUSEcMcXq6mpavHgxtWnThi5dumTeHhERQV26dKH27dvTsGHDaNGiRXaxfNOnTyeNRkPNmzentWvXukVnTk4OjRo1ioYOHUpnz5516tjy8nJKSkqi7du3U35+vlt0NCg4ypQdE+OcSMayjiVKhrHXX9ocUwsNhUFvJZ3Z2g8dkaWkjy1Zct8FjSmhuCPk5eW5LDWeOXOGhgwZQmPGjPFKcvEnn3yS5syZQ0T2THDs2LHUsWNH6tChAw0ePJjeeOMNO/rfe+89atKkCTVt2pQWLlzocfoaMlSmqBBSTDEuLo5CQkKIYRjq1q0b6XQ6q/2fffYZabVaOn78OC1fvpzatm1Lc+fOtRunsLCQKioq3KIxKSmJOnfuTM888wxVVlYqPu6akw7lYOsl6orKNDpa3EnHlvvYci+Rfu/iHXoQ68zM0babHMMTJLroaOfIt1SNOuk02+hgKTU6a2usqKig6dOnU9euXSk5OdljNP366680ZMgQ8ztuyxRXrFhB27ZtoxMnTtDatWspLCyM7rvvPrtxiouLVQlRBCpTVAgpplhWVkbp6emUnJxM06dPp8jISFkpa9WqVdSkSROPB7uvWrWKWrRoQd98841TL25lZSUlJSXRtm3bri3pUAxicQdKI93FuIqT+k0TrDkcZ7PvGSbGKTLWr3fdDKrVNs4wDFchSI379+93+oPzyy+/pBYtWtAPP/zgNh05OTnUuXNnOn78uHmbI3VpQkICAaBz5865ff5rASpTVAglNkUioj59+tBHH30kuf/UqVMEwGnVphRqa2tpzpw51L59e0pISHDq2Pz8fNq6dSsdOnTo2pUOBVFIpxP3JhHbLuxbvFjazijoGRVyJE6joXlYRLXQ2DHEesbIUndGr2Q4M1+W4ukPP8yTLybMSl22sP1alRxramooJSWFtm7dauVMpwQ7d+6kdu3a0auvvupW2MaGDRsIAGk0GnMDQAzDkEajER27rKyMAPjE+acxQGWKCqGUKfbq1Yveffddyf1r164llmVdCha2xeXLl+mOO+6gwYMH0/nz5xUfZzKZ6PTp0xQXF+eS+3mjga0oJCcyCdyDZYnmzeO5gpT7p1Sso5Suk2UpdR4vBYZBT7OxRJLbxc/TSpIqDO8oxlC4DOES5s2r7yMcK8VMr3XJUTA1xMXF0ZkzZ5wqiZaWlkYDBw6kf/zjH3TlyhWXzn/16lU6efKkVYuKiqInnniCTp48KXrMvn37CICVdKlCGipTlEFpaSkdPXqUjh49SgBoyZIldPToUcrOzqaysjJ68803KTk5mbKysujQoUP09NNPU7NmzejUqVNERLR//35aunQpHTt2jM6fP09r166lTp060ZNPPuk2bWfOnKE+ffrQ1KlTnUpwXFFRQXv27KGEhASXEiM3GijNWCPYiPV6Xh+5bl09w5NSj86bZ30unY7onXeIE2GKHEAZ69ZRQsLfxDCcmTEaYU8bxzCUlphI69dnEMCJkvvOO/UkC5Cqx7h+ff2lrVtXr24VSHYlF/q1gpKSEtq1axft3bvXKV+A4uJimjx5MvXr189j2iJL9em5c+fo/fffp0OHDlFmZiZt2rSJevXqRbfddptHznUtQGWKMtBqtWQbBAuAoqOjqbKyku677z7q1q0bBQUFUWhoKE2bNs3K0ebw4cN00003UZs2bSg4OJgGDhxIH330kdv2xJ07d1KbNm3orbfecupLNTc3lzZv3kxHjx4N/GoW7sKRh4gjUcjyd0yMvVQZHS3KNTiGoYtffEGpO3dSSkoKpb3xBnEy3CX3X/+io0eP0rFjx+i99/RmxjgdMVaMkWMYynn3XTp69CgdPnyYHnvsggwv5+g//8mkkydP0p49GbRsWaF5XNtLs7wMsUuVmhZLQdqV6W8MqK2tpSNHjtCWLVsoLy9P8XFGo5Fee+01atu2LSUmJrpNhyVTzMnJodtuu43at29PzZo1oz59+tD8+fOv7Q9gJ6EyxQaGX3/9lVq0aEFr1qxRfIzJZKKTJ09SfHy8V9zDAw5KPESkItLj4sQ9Q236itn8OIvtHMPQ5UceEZUOrfSdNm6eF3V6Wr+e6JdfaumXRT9R7S+/EK1fTxd1ejunWPmhOXrwwUsWzJATlS5tt2k04pcfF+daxa1rQc2ak5ND8fHxdOrUKac+UlevXk0tWrSg9YLIriIgoDLFBoQvvviCWrZsSVu3blV8THV1NSUlJVFCQgKVlpZ6kboAgdJahomJ1lmxHRnTvNEYhtdTzptXz4nquIht6SjLzHLz5omXYfRmszWtCknFbaXBayn7jSWuXr1Ku3btov379zvltBYfH08tW7akb775xovUqXAGKlNsAOA4jt58803q0KGDU7lRr169Sjt37qQDBw5cO96ljhJ12ooxQtJPvZ4qKyvJcOCAnXTHMYysCtRtxmi7zUGRYanDXGvWkiKfQcd+27lzvMpfCOC3TSIgSIPXQp5UKdTU1FBycjLt3LnTqfi//fv3U/v27entt9++dp3eAghqPcUAh9FoxKxZs7Br1y7s2LED/fv3V3RcXl4eDh8+jF69emHAgAFO1Ytr0DAYgIgI62KBGg2QlcX/b7OPNBpkJibCAKC4uBgDkpLQd/FiPmIQADEMmIULgfbtgVmzAJOJH2/YMODwYa9dhvGXX7C5RQuUl0/B4483kewXBgP6Ih3p6IsLcL6w4fDhwLFj9Ze1YgVQVER44w2AiH9mGIbwwgvH8fDDpejSpQtMplAMGdISHFf/TMlMsXlfQ6u76AqICKmpqcjMzERUVBS6dOmi6LgzZ85g0qRJuOuuu7Bs2TI0aSJ9z1V4GX5myipkUF5eTlOnTqUhQ4aQwWBQdAzHcZSWlkZxcXGKj2l0kErUKSHGnP7mG8rKyqLK9HRpjxKhJqJQSsJNyVHMu9RWOl07/h0KRw6NQ6JVujehWTrjGMHSdDgX3C9Mj2VljJgYqX4cJSfr6cCBA/Thh/tlpcFrKU+qFPR6PcXFxVF6erpi6S8nJ4cGDRpE9957r9vZrVS4DpUpBiiKi4vp5ptvpltvvVVxTKPRaKRDhw7Rtm3bXI6DajSwSNRZXV1Ner2ejsXH26tGLQ1ecvZES6cYR3bH0FDJfbVg6UGsp6V4UdRZx5pxQpLpiYVt2OZKVUCOFTNz5Lwj9MvMrDUnKhcay3Kk0100q+mvtTypYrh8+TJt27aNDh8+rDhgv6ioiMaMGUO33nqr6jHqJ7D+llRV2KO4uBh33HEHWrduje3bt6Ndu3YOj6mpqcH+/ftRXl6OsWPHom3btt4nNIBR3akTznfvjqTsbGzbtg3p6ekI6tULFZ9/DtJo+E4aDZgVK+r1ei1bAqzEK0EEJCfz//ftK90PAHJzRTcbocEsrEQEsjEbX8NSoS1mw9AA0ICr+5/DSsxEGAw8CUg37xPQBCb0wTml5PDjaoA+ffj/9+/nL1MMLAuEhPD/R0Y2wcqVDOqnkfB//5eLsrKz2Lp1K5KSklBdfR6jR1dfEypTKbRr1w5jx45FWVkZ9u/fj5qaGofHtG/fHjt37kTz5s1x5513oqSkxAeUqrCEalMMMFy+fBl33nknQkND8ccff6BZs2YOj6msrERycjJCQkIQFRUFjbBaXWMgIly6dAnZ2dnIy8tDu3bt0K1bN3Tt2hUtWrSo72gwAOfO8dxAWLVXrQJmzrQ2htninXeAZ5/lj/n0U2D+fMW0XX1mLp6NGYUM9MQBjLJjaADAAXD0lfoQ1uMPPIQwGJCNCKtxOFaD95/Owv+tUs6JFi8G5s3jp2TlSuCDD6T7sizfZ8YM/rfYNFZUVCAvLw8XL17ElStXEBoaioiICHTs2PHasWvbwGg04vDhwygvL8fo0aPRvHlzh8dUVVXh/vvvR2FhoeIPYxWegcoUAwhFRUW4/fbb0bNnT6xbtw5BQUEOjyktLUVycjI6d+6MoUOHgpWTYBopqqqqkJOTg+zsbJhMJnTv3h0RERFo2bKlsgEMBqBHD2kxyRbz5gEjRgCPPKKcSIYBiGACA42IXMjVyY2sqMxYD4EpAsB0rMIKzEITmOqk0BVYzcxQfBkAsH49oNPxPF4JWBbIzlbmNFNaWoqcnBzk5OSgadOm6NGjB3r06IHg4GDlBDYScByH48eP49KlSxg9ejRatWrl8Jjq6mo89NBDMBgM2LVrF9q3b+8DSlWoTDFAcPnyZdx+++1o1aoVvvrqKwwdOtThl/Xly5dx4MAB9OzZ89ryMAUvFV6+fBnnz59HXl4eOnbsiMjISHTt2tX5D4P588W5AsvKS44uggDY3qnyf9yLkG0bZY8zgcFz/8hBzLZ6jhQGA/rgHM6hj0vep3KQuvx583gJUyk4jkNubi6ys7NRWFiI0NBQ9OrVC+3bt7/mntnU1FRkZ2dj1KhRDqU/IsLx48fx4osvorKyErt27VIlRh9AZYoBgOLiYkycOBHh4eFYtWoVUlJS0KNHDwwcOFBy0cjLy8OhQ4cwaNAg9OrVy8cU+w8mkwkXLlxARkYGKioqEBERgcjISIQIBi9nkZIC3HSTvZTIMEBsLJCQAHz+udt0O0SdJGkLgYEawWIWVjotCbqKuXOBCROAqVPt97EscOAALyw7i/LycmRmZiI7OxshISHo3bs3unXrdk2p/M+fP4/U1FSMGDFCMmSDiHDmzBkYDAaMGDEC0dHRyM/Px86dO9GmTRsfU3xtQWWKfkZJSQnuvPNOdO7cGf/73/8QFBSE0tJSJCUlSTLGnJwcnDhxAjfccAPCwsL8RLlvUVVVhaysLGRlZaFp06bo1asXunfv7l4816pVvI1Q6hUQ5t3Pr4gJLEbhAA7BBS7kIhxdOsMA331Xb190FkajETk5OcjIyIDRaERkZCQiIyOvGdWqwWDAsWPHcP3116N79+5W+ywZ4s0334yWLVuiuroa9913H65cuYLt27ejdevWfqK88UNlin5EVVUVJk2ahBYtWmDjxo1WTjVSjDEzMxNnzpzByJEj0alTJ3+R7jPU1NQgPT0dmZmZ6NChA3r37o1OnTq5r3YTC/IPYMzBEvyBhzyuInUHngjKJyIUFBQgIyMDRUVF6NWrF/r27YumTZt6jM5ARUFBAVJSUjB48GBERkYCEGeIAqqqqjBt2jQYjUZs3bpVkROeCuehMkU/wWQy4aGHHkJubi527dolqv6zZYyZmZlITU3F6NGjG73R3Wg0IjMzE+np6Wjbti0GDRrk2TATrZbXDzYACCpUE1i8joU4jOEuZ7DxNLRaYNw4z4x15coVnDlzBiUlJejbty969erV6NWqRUVFOHDgAAYNGoTIyEhJhiigrKwMEyZMQEREBH777bdGPz/+gMoU/QAiwnPPPYc9e/Zg37596NChg2RfgTG2atUKxcXFjZ4hchyHnJwc/P333wgODsagQYM8JxEbDEB6Oh9nCASUpCjmfCO23ZJBzsRKfA8X9ZcegOCJCtRPq7txiUJYzZkzZ1BdXY0BAwage/fujdqr+vLly0hOTkbbtm1RVlYmyRAFXLp0CbfccgvuuOMOfPXVV9eUs5IvoDJFP+C9995DTEwM9u/fjx49ejjsf+bMGaSnp6N79+644YYbGuVLQETIzc3FmTNnAAADBw5Et27dPHetlnGIQsDdlSvysYY+simaAHyEt/AWPrYK15BilAKM0CASWV6RGJVc+uLFQLt29tPqqp3REkSEixcvIjU1FQzDYODAgQgNDW20z/6RI0dgMBjQr18/DBw40OExWVlZGDNmDJ5//nn85z//8QGV1xB8kDVHhQWWL19O7dq1o1OnTinqf/78eYqPjyeDwUBbt26l06dPN7pM+gUFBfTXX3/R1q1bKTMz06madIogV89o0SLx3GYsyycFXbTIuWSiLjQhPRufy9S58hdjofUKWYsWSZenYhh+vy/KRJlMJsrIyKCtW7fS7t276dKlS54bPADAcRydOnWKtm3bRgaDgeLj4ykjI0PRscePH6e2bdvSd99952Uqry2oTNGH+OOPPygkJISSkpIU9c/IyKD4+HgqKioiIr4UVGNijFeuXKGkpCSKj4+nv//+m2pra71zIkf1jPR6vkihkMWaZYkWLCBat85nRQvHQiuaz9Sy2eZKlcp16onGsvzlL1hQz/g0Gn6aHKWA9UaZqNraWjp79izFx8fT/v37qbi42PMn8TEsGaJQ67SwsJDi4+MpKytL0Rh79uyhkJAQ2rhxozdJvaagMkUfYffu3RQSEkKxsbGK+uv1eoqPj6fCwkKr7Y2BMVZWVlJKSgrFxcXRqVOnqLq62rsnVCrSSEmNXm4cQP/GMvrspnWSfYxgKXvUg2RiNWaG6EpVDFebIB26Mq2eRHV1NZ08eZLi4uLo0KFDVFVV5b2TeRFiDFFAYWGhU1VuNmzYQCEhIbR3715vkHrNQWWKPsD58+epQ4cOtHLlSkX98/PzKS4ujvLz80X3N1TGyHEc6fV62rJlC+l0Ot+Wx7GsZ8Sy9Su8Xs+LPB4oB+UJ8cxWGuQAmonlFAY9sSxfHUOQKn1NnlBmKjGxnvEtWmQtSfqqTFR5eTkdPHiQtmzZ0uBKpMkxRAF5eXmya4Atli9fTh07dlQsYaqQhsoUvYyrV6/SkCFDaPbs2Yr6X758meLj40nv4HO7oTHGyspK8yJ24cIF35xUYHjCXNqWi4+Otv7tT4Yo07xlN3SRb0tO3+LF4tPuTRgMBvNHVkOQGpUwRAHZ2dkUHx+vuAzcCy+8QEOHDnU4rgp5qN6nXgTHcbj//vtRXl6OrVu3Osy+UlZWhr1796Jfv37o3bu3w/EdZb4JBBDxXoQnTpxAx44dMXToUN8EHdt6my5cCLz+esCEYCiFNz1MPQ2NBvjkk/pp9qQ3qhyqq6tx/PhxFBUVYejQoQGb5YlIOjBfCufOncO5c+dwyy23OOxfW1uLSZMmoV27dvj9998bdRiLN6EyRS/iP//5D9atW4eDBw86jC2srKzE3r17ERYWhsGDBys+RyAzRr8tVmLZapQm95bIQepT1NHgauULL5LkdD9PZL1RAiLChQsXcPLkSd9+fCmEKwxRwKlTp5Cbm4tbb73VYRq8oqIijBgxAk8++STee+89N6m+NqF+SngJ69atw1dffYXY2FiHDLG2thYHDhxAx44dMWjQIKfO06pVK9x8883IyclBamoqAuUb58KFC0hMTATDMJgwYYJvv97T0+0ZoBKGqNH4nyECABGIYfDH8NlYzUwPFJJk6ypb9rOEycTXXPQ2GIZBeHg4xo8fDyJCYmIiLl686P0TK4A7DBEABg8ejPbt2+PAgQOora2V7duhQwfExsZiyZIl+OOPP9wh+5qFyhS9gMOHD2PGjBn45ZdfHAbichyHgwcPonnz5hg2bJhLkp7AGA8fzscPP2RDr/ffKlpdXY2UlBScOHECQ4cOxYgRI3z/xd63r+MVnGWB6GhYlI/nS0MECBgiPHj4C3SjC/4mxYxXXrGeruhox9Os0fBFiH2F4OBgjBgxAtdddx2OHTuGlJQUVFdX+44AGxAR0hITUbF5M26JjHSaIQI8w7/hhhvQrFkz6HQ6cA4+8IYMGYK1a9fi6aefxrFjx1yk/BqGf0yZjRd5eXkUHh5OCxcudNiX4zg6evQoabVat2P0YmKIWJarc3rg6LvvfO98Izg9HDx40P9OD5bepmJt/Xq+n17PB9bp9bxrpb89WQLYyUans54uIj6WUaq/L71RxeAX5y4LcBxHhv/7P+KEMB+WdWtCamtrKTExkY4dO6ao/4cffkg9evSggoICl895LUK1KXoQHMdh0qRJ6NChA3799VeHUl9GRgbS0tIwduxYNG/e3OXzipvQCFlZQPfurtkYLdOEOrIHmUwmnDhxAnl5eRg6dKhn07O5A4MBSE4GHnlE3NAFWOdCXb8eePVVn5MpBRNYRCA7YJxsliwBHnqI/18uhSzLAr/9Bowe7X1boiNQna3xxIkTCA0NxdChQ5Ul0XbmBZA4b1piIvrdcQefo0iAm0bWiooK7N69GwMGDEDPnj0d0vDwww+jrKwMmzdvVh1vlMKvLLmR4cMPP6Q+ffpQSUmJw74FBQUUFxdnzlbjDqQyi6xenelSuAYvdSr7uK2srKTdu3fTX3/95du4Q2dgKTUK4ovlRTKMX4L25RoH0G94wN9k2DXLqRKeDbHpDTRUVFSQVqulPXv2ONZiOPMCiEAIu9AtXCg+iW6m/BGC+5WkvCsuLqaePXsq0lyp4KFKih7C3r178Y9//AN79+7FjTfeKNu3vLwcu3fvxuDBgxEREeH2ucUkRY2GsHr1Xxg+vItTXqniY4l/3BYXF+PgwYPo2LEjhg0bFthlbAwG3uOjTx8gNxcYNSrgwzMaQjgGywIHDgChofXT62/pUAomkwlHjx7F5cuXcdNNN4lXsHfmBRABUb1TzS2RkQgZNMjlseSQlZWF1NRU3HbbbaJl5yyRkpKCcePGYefOnRgzZoxb570WoMrTHkBhYSEeffRRLFy40CFDrK2txcGDB9G9e3ePMESAf79WrrR2glixgsG990Y57ZUq5rgp5kFoMBiwb98+9OrVCzfeeGNgM0SAn6Rx44Dt24Gbbgp4hggATWBCH/jAddMNcBw/ndu389MbqAwRADQaDYYPH47IyEjs3bsXFy6IODEpfQFEYMkQb775ZoT07y/2YnpkkiIjIxEWFgadTgej0Sjbd8SIEfjwww/x6KOP4vLly26fu7FDlRTdBBFh2rRpaNq0Kf73v//JSmREBJ1OB5PJhFGjRnlcx28pDIWH87+PH6/A5csHFUuMjj6UiQipqanIzMxEVFQUunTp4tFr8CrELi6A0RAkRQG+ikf0FPLy8nD48GH07t0b/fv3r38vXJQU7STEixfr7ZG2L6aHwHEckpOT0bRpU4wYMcLh2nPvvfeCZVn8+eefgWHzD1T4R2vbeLBkyRKKiIigy5cvO+x79uxZ2rlzp/cTYJOtWYSjOXNOKE4JJ2UjqqmpoQMHDtDOnTvp6tWrXr4CL0DK+BqAjQNoHhb6mwynmjeqY3gTJSUltGPHDjp48KC197eTRlLL1G2VX3/tlj3SWVRXV9OOHTvo77//dti3sLCQwsPD6csvv/QqTQ0dKlN0AwcPHqQWLVpQcnKyw76XLl2iuLg4n5S8Ea9ewNGPPyYqZoy2rvdlZWWUkJBASUlJPmHqXoHYxARwztNlDy/3NwmiTcwvydvVMbyF6upq2rdvHyUmJlJZWVn9DtsXQAKWDLHs7Fnflw0hvgRbXFycXUUdMezdu5datGhBhw4d8ipNDRmqTdFFVFRU4PHHH8c777yDUaNGyfatrq7G4cOHMXjwYHHjvochbhZh0KHDTVY2RoMB0Gp57Y4lBG90Qdtz6dIl7N69G506dcKoUaMQFBTk9WvwCsSMrytXAjEx9dsCBMSyaBvVEixL/ibFChoN8N13fPOCqcznCAoKwujRo9GhQwfs2bMHhYWF/I7wcP4FSE8Xf0G0WpBeb21DvHjRZXukO2jbti0GDRqEQ4cOoaamRrbvLbfcggULFuDxxx9HZWWlV+lqsPA3V26omD17Nt18881kNBpl+3EcR/v376eDBw96rZqFbVUCuTp3QnWN99+/YBHsX6/lsfVG//hjPnSkUZWkEZMCpMrM+6FxAKW98QZt3LiRXn89jQDO3ySZJUSdTn4aGzIyMzMpLi6OMjIypMMyLLZzLEsn58ypr0rhqMCkF8uHcBxHBw4coOTkZIfrjNFopJtuuoleffVVj9PRGKAyRRewZ88eatGihSI9flpaGu3YsYNqamq8Qovcu2trFhHeSa22jBiGs3t3xUoKsixHJ044tpc2eASSvZFhqPjRZ+nHuz+k+Y9mBQqvJqDh2Q2dRWFhISX++CNxYsxN5AXhWJZP6yMwOil7pJuxj0pQXV1N27dvp3Pnzjnsm5qaSi1atKCkpCSP09HQoTJFJ1FWVka9e/emJUuWyPbT64k2biyh1at3KnLCcQViwo3th6nwJW8bqy624C1Zcm0uhEQk/pUfAM0EhqYjRnR3GPQ0Dok+KzjcUO2GzqIsLs65F8SW0dmK0FK2bEux20MoKiqiuLg4unLypEOpdNGiRdSvX7/ATbrhJ6hM0Um8/PLLDtWmtnlIveGAZsnkHDExJeu9RsPVfQjbS5CNfiEUROgHH/Q7ExRrRjAUBZ3V5umIISPYuv2sJOP0ZHvwQd8VD/Yr9HpRSZE7eNB+u5KXRUoL4SWJMe/DD+vplDmH0WikUaNG0SuvvOJxGhoyVKboBHbv3k0hISGUlpYm2ceRWcERlJgdxNSccueSeycFxv3++xfIZDLRO+9kmRmjMym7pOj2ZRV2hxAjRu7rIoCaJeMLg97MEIVWC43PJEbbdTbg77HcdinExBBXpwblWJZMK1fSqVOn6OScOebtok1MrSL3VepIYnSWbgmGLnW8oEbdt2+fsvGvAahMUSHKysqoV69etHTpUtl+UgxoyRLHz7USs0NMjLT6U+oYKUa9bBlfLCI1tZS2bNlCCQkJtHPnTkpLq3DKgUKBT4IvQracJ1KvDxjnGiVNYHzjIP6Q+bKiBsvaq+UD8h7LbXcEvZ6qtm2jPb/8QgkJCbR161beqUavJ1q+3Lm4FLmPL4aRftmdoVuvJ/rsM+XMug6LFy+mvn37Unl5ubJ5aeRQmaJCzJ49m2655RYymUyy/c6dq7JzYnHEtIiUSZjOfnBafmRa2v9Z1jqp83ff8Z5rmzZtouPHj8t6ryn1dBWTZv2mipX7KggAZudMGwut3yVFoS1f3gDusaMH0YEkxnEcHTt2jDZt2lTvQS7G4CzVKlJjOqPicVblJMN0OQc3xWg00ujRo1U1ah3UOEUFOHbsGFasWIGYmBiHqdmuXDmJN9/MhEZDdvs4Dpg1yz7sCVCWclGsD8AnZf7kE6CsrH7sVav4bFUTJvB/AT5T1fr19W+LJU0pKQDHjcXx40VITU2FXk/QavntQiyj7ZirVknTvXq1X0K2xCFBpD4x0Q/EKIftE2SEBufQBxcQjplYCSM05u2zsMLn6eBSUooD/h7LPohiD7QQvJuSAkpMRFpiIvLy8nBrz57Q7NmD9F9+Ac2caV8rKzkZmDFDfEyAH7esjH9RxdYQJS+71OQaDIAtTXUglkX2m2/KBpFqNBrExMRg2bJlOHnypGS/awb+5sqBDpPJRGPGjKE333zTYd8LFy7Q5s2bqbKykvR657w5XZUUWZZowQJrLcuCBdKaHSn1riDdsixHEyfq7RxuLKVLRx/icm3RIs/dG8UQmTiOZSn/vff8LvnZfdXX/TWCpV3tp1AtePG+Fho7Z5ow6M2Soz/IffnlM6KhPX6RFBctUk641IPLMPUxiML9YBiqeeyx+u1S6nbB3uDuCyrzzDrtyLN0KVWkpdHmzZvp4sWLDqdw/vz5dOutt3otnrqhAP4mINCxevVq6t69u3UKKBFUVVXRli1bSG/x0LqiAXGUctHWzLBokXKmJPXe2geHKw8W12odF7n366Kp11NpbCzlvPwymYSFTaMh7rvvAtamyDEsGTYk0caNGyllQwaNZ/zH+KQayxLl5HC0ZEmJlaf1//1fhe+dbpwJpxFeLDfiUjmxMeW+OMX6W764cg4ESnKwOlhocnJyaOvWrQ7TM169epW6detGP/30k7t3pEFDVZ/KoLi4GK+99hqWLFnisGbZiRMn0KFDB4SFhZm3iZd0ktZkzJjBqzi1Wv7vjBmOaSwoUFb0QaMBQkJ4rQyvwSEAwl/bjPnKM+iHhNTTvWSJ4/6+VK9VffMNKCICLadNQ/jXX6P2/fcBrRZMcjKY3r35uoqvviquzvIjGOJwxVABADDq83A9HUEocv1MVT1YFnjlFSAvj8GwYa1x4ACDLVsqMXt2Lt57L7hOc0hmzaHXIWVXsMXSpfUvVsuWLp+OAUBClQmNBvj4Y56Gli2VPUsmE//iOoLSBcHBQhMeHo527do5VI22atUKn332GebPn4+SkhLH9DVW+JsrBzJefPFFuuOOOxyqEy5evGhWm4rBU+mwXM1nzbJE0dHWIRjTp5+hzZvLSSpOWWmzVAUryZTmC0mxoqKCTm3bZq/q0miIFi8Wn8Tbb/e/+FXXeKeZHNra5YF6NR5A3yPa36TRxIni0yc+rRylp4u/Ex6FEknR1hPNzQxGZevWUfLHH9MVW9Wo5YvmiB5PvxgyC01lZSVt3ryZcnNzZYfgOI7Gjx9Pc+bMcY+WBgz4m4BAxdGjRyk4OJjOnj0r26+2tpa2b99unRvUA4FbYkO48h6zLFFcnHjVDL2ez1Aldlw9P7FUpUrbj6Qc8qKjnarC4xaqq6vp1KlTFBcXR6lSnqVy7rv+5jioz2ATBZ2dmo4D7IL4fd3kwoHEtn/00X46ffq019IcmmGrarR88CyJtPQQtbUzO3PB69fTpaNHxT+8xF44Jc3yC9MDa4hOx0doCN8CmZmZtGPHDof5mk+fPk3BwcF04sQJl8/dkAF/ExCIEJxr3njjDYd9z5w5Q7t3766XJj0QuCU1hLOZyByZT7Raaaa4fDkfwygn+QlOM46yWFl+wHoj0NtoNFJanUPBvn37+LR6rorVfm61YCgMepoD8Xiz2VjqbxIlmxh/OHnyCu3bt482b95M6enpDhdkp2H5QNlKSo7CMeScc1iWfwGkPq7Wr5d/sZwxtNvS5YE1JDraevjoaF4K/Ouvvyg1NdXh8fPmzbtmnW7gbwICET/99BOFh4c7dK4pLS3l8wxeucJvcDedjYIhxNRUtgvTW2/x76yQp1inI5KS8qR8TXQ6aYZpuy5I9bP98J03zzo+0l2pkeM4ysrKom3btpFWq6X8/HzrDrbSgzNeSX5sY6ENWElRbk1ftEhcK8BxHOXn55NWq6Vt27ZRdna2ZxZb24S+8+YpU604enAt+/Evj3UTMheIZY8RSokIapj16/kXUu7rUtA/E3lkDREjGXXv9OXLlykuLs7h2iY43fz666+u3JkGDfibgEBDVVUVRURE0Jo1a2T7CSWhjh07Vr9R7stRIRx9fCpZ0y2LwPL/c3b7LdcPqSw58u+x/ZhS77EU3e6YUcrLy2nfvn20fft2MhgM0ousrfTg7Be8jxsH0Pt4iwAuIG2KYs02bl3Kfs5xHOn1etq2bRslJSW5l0FFSm3iSLVi8ZuDTIiF1AtgmX2m7kvPbgz7F9DxJAp0e2ANkUpqIyTjOnr0KB04cMDhOKtWraJevXo13KLiLgL+JiDQ8Pnnn9OQIUMcqnkuXrxIW7ZssX5gvCgpOhsPqKS5mu2MZ4j2YRsCfZaLpCO6pd51KTVrTg5Hv/ySSz/8sIuOHj3qmq1KWLl1OvnKB35qJrCUsiGDNm7cSIYNSTQbSwNOQly6lJ8+VxzIampq6MiRIxQfH085+/cTl5DgfK5SOQO7pe7eNpWTTV8OkE/yLTa2bX47TzUPpYKSkxSJ+A9/JU43tbW1NHDgQPr6668Vn7sxAP4mIJBQUlJCHTt2pNjYWNl+os41ApTGFlnA9v0XG0I66N7999CRFkloc+bw2qAlSyoc9l20SD5Pq9y7LmVSWbasijxefcRZQ62PWu3OnbRx40basaPW36Qovm/OonjJErOUxTmbq9TRfRMkOiVB/YIBffZsZROwfr33nhlbe6SS9HEiELMpWkKp082GDRuoc+fO9YWUrwHA3wQEEt599126+eabHdo7UlNTrZ1rbOFEDIacU41tSTYxBsOy4jkonWkffaS8L8sSjR3r/rvvzFqn0XC0ceMF72VPCbRKGRoN1WTwkmJGRk1AkeYJWzARiXt/1pVnUiwpeeq+jR3r3DgffujeBEp9KUoVQ7W9VoU3Qaerl+htodTphuM4Gj16NH3wwQcOz9dYAH8TECjIz8+nli1bOiyhUlFRQXFxcR4pHOystvWxx8TfpfXrxRJ+CwxEeXYaXzXBF0EMUhLxzJlnRLd7rACy4Ankbw5UJ+HU1NTQxo0bqaamxkri9nVhYcu13NaPxS1I3OiMl18WJ0DqRkvpCv3czE5SFqnjSKPhJ1HquLfekn42vRDXKBQkloqvFrB7925q3bo1Xbp0ya3zNRQEVioPP+K///0vxo8fj5tvvlm2X1paGrp06YJ27dq5fU5ncv4+9RTwyy/i4zzyCP9XSH6RmclhxYrjYBiCM9lpfAUioLxcfF/fvvZJQViWEB3dx267RgP06eMhosLDgcWLga+/9tCALmLZMrvMJTNmAN98A0zHKmQjAlpMQDYiMB2+ShnDn3/xYtm80s5B5EaTRoPqqKj6bDEC5G50WZmHCPIshKw3XHIykJ1dn5Wmc2fpgz76iH/RbeHMQuEE2rdvj06dOiEtLU2232233YZbbrkFH330kVvnazDwN1cOBJw/f56Cg4Pp5MmTsv1KS0spNjaWrl696pHzipk7xD4AlXwMWx534sQJ+uyzI/7+WJZtQriIAEtzyXffcVRf6JgzOwNZCnJeSQQQAGrU0ieeIyKykhSJiF5/PLAKC3tsvi3VG3Wi6JVPP7XKU2t+AGztaXLZJwKkZXz/vTW9Sp4vsRpwYsd5ILt+SUkJxcbGOgzROH78OAUHB4v7UTQywN8EBAKefPJJevLJJx320+l0dPToUfNvdwLRpZ7zBx+07yvlYm3btFqigoICWr16J61ZU+nv9UDxQmsdbsbRvffm0tdfH6QtWyrsHP08rsZzdEN83DiG9260ZIp6PdH4ACgs7JUUfbZfO3UPRWlqKh369FM6+f33ZHz2WfsA1wD4gHF8Lxk69NprVHT8OH+tSlNSiRUyf/BBz90Qm4XryJEjlJKS4vCwJ554gqZPn+78+RoY4G8C/I3MzEwKCgqi9PR02X5XrlyhuLg4qqioICL3k05IvR+Cx7cllEqKmZm1NHfuKbsYwkBuliYX61YvIXojTaTiG+KPptVaMcXERAqYwsIes+EKkLnBtd9+K556Tc5ZJQAbx7JkXLHCPUlRrmSVMxBZuAQ/ieLiYtlDz549S82aNaOcnBznztnAAH8T4G+88MIL9Mgjjzjsl5SURKdOnSIizyzUcu+H2HNu62I9fLi99LR27d8NiiE6anLhIj5ZnP110SKSIssSTUeMbH1FH5HmWchlnQmE++Ghxgmxk7ZS8fDh1n1tYyfk5kjsC1oOMgvXyZMnaf/+/Q6HePDBB2n27NnKz9kAAX8T4E/k5eVR8+bNrVSiYsjPz6fNmzebA/U9kHSCiPjMTs4sPDod0bvvEj3+uPWHY33yjMbDEIW2fLn4dinvVbfgKIeetxZMy5tfp3KwtSkK5jd/FRa2zETmUUipQaRyjjbgxllmuRG2Mwz/Qr/7rvRDLfXB5uwNkVm4qqurKT4+3qGH6eHDh6lFixZUUFDg3LkbEOBvAvyJN998kyZPnizbR4jnSUtLM2/zpErPMh2nI+eRBmBG8WhjGB9Kiv6c3KgonvtbPEC2TJGI3718Od/dH2R6xdlGTlJsQCpSR01UDezM5No6JbniZONg4fr7779l4693795Nd999NwUFBREA2rBhg8NTarVauuGGGygoKIh69+5Nq1evdp5uHwP+JsBfKC4uptatW9PevXtl+wlSYm1trdV2FxLXSEJJrH+gaPd83cTLXnlYjRcok/vQQ2aSxJjiQw/5n0SfzL1QfsnfFxtok+tEUhBJyCxcNTU1tHnzZklpccuWLbRgwQJ6//33CQD9/PPPsqfKyMigFi1a0CuvvEJnzpyhr776ijQaDW3bts11+n0A+JsAf+Hjjz+mW265xWG/ffv2SWZ9cPoZddFdVa9X7oFq2fwV6O3JxjBEY8ZYbxMzu7iFQHKyqQvgtmWKb73lf9KE5nEp3dZgPmZMg5YS9QijRIwjPcKcP37JEqfXB9u6iQ4hs3CdOXOGkpKSZA/nOI4AOPTYf+2112jw4MFW2x555BGaNGmSQkL9A/ibAH+goqKCOnfuTJs3b5bupNfT1U2baOfq1Z7JEu9iXIFjrR4nakucjhizt6IRLD3DxDTkdcaqNVpJETDrjC3TvAVSKF6jnnsP3LuVeIZYGAkgYmGkGEy368cxjHx1DifSuNmq0t39YKyqqqK4uDjatatEltECoHbt2slmw7n11lvtnHK+//57at26tXtEehnwNwH+wLJly+j666+Xzl1qwYmsEhW7Gpgo9eJblqFRcJil5KfRED35ZB79+aeOcnI4q+xRYu77Jtb37vvebF6xKVrnyfPrBXIsS2vHv+N3b2LbLGU+syk2wKZHGDEwWW3WoNZKYuTmzaOD//sfnd6+nf8w1mhIjzBKsJUsHXx92ArXls1ZJzRbSXPatCKyTA8pxmgBUI8ePejbb7+VHLdv37700UcfWW3bvHkzATCHtgUi4G8CfA2O46h///70448/ineQsnFYeiY663Eg9+LLPPyWh/GSH79Qm8BQ9jtLKT4+nsrLy+1IHicR6D3Oh4He3m5e8T61VCsJZaUWLPCbJOOPOETh8V6wgL98oV6uu6YsSQRo7lJXWgLGi+7SYmz9D42Gyv/+m+Li4qigoICefbCIUMdIGVvJUuLLz9GUicX+S8GWuU6ZQiSWL9n2fQNAL774Ig0aNEhSuFCZYgPBjh07qFOnTlRVVSXeQS4myPK3M3oksdgLq7dGK3rYRZ2eJjCJFAUdmWAtuXAMQ9l1un/bHMOBEujtzSYs0q5mFJLFokXWGVQWLSIaNcovF+rLjDUAf5mWHtEM45FsYtawvHGNTFIUVKdCs5UUCSCaN4/Onz9PX36ZTLYMiIGRdIiiBOZ2OhR3UXT6HPkXTJmi7DY48z1iy2gB0G+//UYdOnSghIQE0fFV9WkDwbRp02jBggXSHfR6+6KjzkTZi4wnK2koKItjhLgqj1u3TjLZhb8Dvb3dXnpJuuSWW4xS7AOGYdwrF+Ri88eHjNRluhyjKFYs1PLGvfSS/x8mD7YYTCcN+BqYGtSK2hSJZYnLyaGHHhK/t4wFYxVTXSphZko0Kc4474lJihs2bKDXX3+d7rvvPtHxX3vtNRoyZIjVtkcffVR1tAkkCCnd9A5WTP1779UzRo3G+tNZaEolRUeqU1cKqApt/XrZ4f0V6O2PZnubXIqpCyCnj0CxKQrN2eQpRGTPAMXeo0bY9AgjLcbKe59qtTRrluNi3YA4g5OzKQLKVKhSzHXyZMvfnJkxl5aW0tGjR+no0aMEgJYsWUKbN2+mpk2bUlZWFr3xxhv0r3/9yzy+EJIxf/58Sk1NpW+++UYNyQg0vPHGG3T//ffL9qmtraX4+Hi6fOKEfZFPVwITpWyU69dLrzIKVEpC4mgxZ5yHsI4ewrprghnKNac9JQNElccxDCV9/jlt3LiRlizZS4FSE9Mp5yax576xuD8rbHqE0a94iH7DQ6JONDxTcnxvpRicTkc0d674MUpt7rbMVWCAOh3RBx+U0tKl+8wx2lqtlgDYte7du9OCBQsoOjqaxo4dazW+VqulYcOGUVBQEPXq1UsN3g8kVFdXU+fOnWnnzp2y/TIyMkir1Yobj131OHCWoep0dguIEYzZTlgLDRUtrh9D+CCfjhgr26MJjKjatDHELyptbi/kfmq1O3fSxo0baceOWn+TQkDD/cDwZpOLR/wO0608URmYeFWqjQrj6XvzzOpWFkY771WAyBEfkWJsSqHT8YzXlpFyHEeJiYkOy0Vt3bqVunbtapVooiED/ibAV1i3bh317t2bTCaTZB+O4yghIcGzNcMEm4pOp4yhWoaDCAtknU2QV4cm0vIF1mPo9STqjMMfy1oxP9v4xcZma7RsLsXUWX7A+JFwyzhFf/Npl0IxAugDwxstBtMl4xH50Ayj3WEsjHQQI+weSu0/36fEOnWrpU3SUViEJQTGtnq1k4H8DpCZmUmJiYnS4WtEZDKZKDIykv744w/PnNTPgL8J8BXGjx9Pixy40V26dIk2b95MRqPRMydVUl/KMkhIZCExMSyNZHQEEDGMiT76qMbOeSF1XoykMw6h3oOR90q17tfYvFItm1vOIVotP4CvVX51HMgyo40/+DTD8JfvViiGI6/rBtrEvExZCy/TRIyTnlcY6eVJqVav/p49FXT66afNfgwHMZKkwiJWryaaNk1cenRXYhRDbW0tbd68mQoLC2X7ffTRR3THHXe4f8IAAPxNgC9w/vx5atq0qcPM7ikpKXTy5EnPnFRJ1nDbp/jOO0XfpPx1ifTllycoMTHNntEuXkwmRvqL3AiGosAz1UWYJ9rH127/vmrCgr5uHd9cWtx9lU6GYertzHo91e7YQb8s+ol27KgVNtH69b6bu/XrXXzmLSe7kapQpZjePCwkAkiHKIKIpGi+1TDVxQPWt2nTLpPuzz+JtFr68u0C0eM6dCCqZ5YcNWuWQwcPHiQiaaeZuXN/pn79+lFwcDCFh4fTnDlzZLPQiOHEiRN06NAh2T65ubnUpEkTz2rZ/AT4mwBf4IMPPqCpU6fK9qmqqqLY2FgqLS1VPrCc/7+j+lJST7GIyqnknXdoy5YtVJORYbffLnzEcl/dXyNYehWLRNWrHMNSeCOUFIV8C7ZVelxRA8rNsUebVmsTisOrtwUlg694jMtqZ9vJ9lMpLm+3HISTmCTHwESL8KqFFCnnRGO7j6OlS/dRfn6+jfen/DHBwbMoPz9fMrxCo3mVfv75Z8rMzKTt27dTaGgoPfroZ06pWK9evUqxsbHSsd11uOuuu+jjjz928sEJPMDfBHgbQgab3377TbZfWloa7du3T/nAjlSjjiRFqad46lS7bRzDUMaePZKropzqtL6P+OJ09YlZjc4pUAg4F7suZxZ8juPIYDDQ2fnzyeTtxV2j4Vcpm/MI6m2J3R5vLMvRp59ekbUh2UHKfiiEYTTCB+z63lfFd8lIiOZpkejz1lsFtHz5IRJjpp07i4/VrNkW+vjjjyW+sTkaPvw5q1s1aNBBcsZWKWDv3r2Unp4u22ft2rU0ePBg556dAASLRo4jR47g4sWLmDp1qmQfIkJ2djYiIyOVDWowADNnAhzH/+Y4YNYsfruA8HBg5UpAo+F/azTAihX8/1ot0K+f+NijRtltYogQsWkT0LKlPe0AvsELMIKRJVkDTnT7d+duB5HsoQ0SEREQvS6TCTh3zvHxBQUF2L17N06dOoUms2bBtHcvwMjPsctgGP7ZKCurf6bq0AQm9ME5mExAeTn/SHmLDJYl/P67AUOGHMSePXtw6dIlZQemp9vRDYDfpvSdakggwrNMjPguaGQPZWDEv/EN+DfXGr17t8eSJb0BkXd5yBCj6DF9+lRi7dpOAIDoaOt9t96agXPnfoVOpwMAbNhgwJkzI6zGX7MGSEmRJRkAEBkZiezsbJDMYnHvvfciKysLJ06ccDxgAKOJvwnwNtauXYv7778fLVq0kOxz5coVVFdXo2vXrsoGFVsEhNU2PLx+24wZwKRJ/PY+fYDt2/nVmuOkV7a33xbdzC5dCohcAwPgRXyDFZiJf2OFJMlU1yy/gjgwWHJgtOQxDRVEwOXL/BTbvsMMw98KKZzddRpnNh0E1zsE10+5Eb169YJGowFycsS5rCfAMMDQocChQyBYL4kEoBwhYFmgoIDv5i1wHIP27bvjlltCkZmZiZSUFLAXCa3zGfS8cyhCR4SLH9i3r/hksyxQWOi9efMj7jn3GV7EbNi+Ufzdk/5qmYnv8A1eFO2zZo0G6eltRI9LTNTUHWP9hJw+fR8ABiNH8kxRpwOSkoCbbwZGjOiNL798H7fccguICEbjiwCW2o2dlASMGCF/vV27dsWxY8dQUlKCtm3bivYJCQnBvffei7Vr1+L666+XHzCQ4WdJ1auora2lrl27OoxNPH78OB05ckT5wEqcaJQcI6OecValY7KIYxSabbVv299GwOyE44kWSPGPM2bYZuaoU11JZGYpLS2lP6d8bBWusifaQiXux6K3Y6H1mQYyLq7+krX/WmE1HwmPLZd+tsUInDyZaLpImjMfN7fqG0o03pnGNqbQ3uZn+ZsPtbCPQ/Rks7QTarVa6tKlC3333Xd04sQJWrgwUYRG5bbFw4cPO3RE3Lp1K4WFhXnOg98PgL8J8CYEw7LcDTKZTLRlyxaHnql2cCYg34UqwXL11myZm9CqBw6V3CfVPBWr2JDiHy0D+k0mE/3999+07rNfRJOoX9Q5sAF7ufk6ZEbInnJRJ55U/sAfSfY2owD2MpWLJ/TEmMobRyFB1ZL7PHXJ99xTz+RuueUWmjdvntWtuuWWc+SKTZGIKD8/n7Zu3Sob611bW0udO3eWTBLeENCobYo///wzHn30UV79JYFLly6BZVl07NjRucFnzACysnj7YFYW/1sMq1bxKtNXX1U+tkaDirvuErEg8GAAmES2B6WekLUsio2nAYcVmIXujEFkrzKEwYCVmGm2WwpjhsH1Mb0JwYZy9epV7N27F3q9HmEVrezsrk1gQn5SnQHy1lt9TCVghAb/Zr7FBUioLb2Am2/m/+btTRedj6xdJ7F3716UlpbW7zh0yGf0OQMDwjATK8HV2fk4aDALK2BAmMtj6tHdakxrSL2xAMCgvCZIZLsJ0upWQpiTpG7aBIwcCTz1FFBRUQGWtV7in39eh2bNbsOnn5qg0wE//KB87E6deNtlYWGhZJ8mTZrgn//8J37++WfnCA8k+JsrewsVFRXUsmVLOnz4sGy/Q4cO0alTpzx3YsswDTmVqWX1VsuithoNcYsWyYYB1EJDyzBT0aejZVac7xEt6YWaMHWJy6EZUvUbAzX+UaPhaM+eDIqLi6NTp06R0WiUlIzMkiIR0YMP+opAyvvqF/p83v8oKcl3GW0efLD+UqXmQ5+cRSdPnqS4uDhKT08nLicnYMMupOIJreobOtFymO70/MBE0d0sjBSN70Wz0ci1WVjmUOq0jmnkyDJWUe48zzyzgpo3v42eeOIwbdhgoB07dlDv3r3p4Ycfdnl5O3nypMM1VafTUevWrZ2OhwwUwN8EeAtxcXHUq1cvWffg2tpaiouLo+LiYs+c1DZMw7bQodVbVOeuvn49H+xskQaueMMGyeM4gH5AtGjNRKk2G0vNKriXRtnnVRUYp4lhaYYLas+GWL/x008PUVFRkdXt2xNtXW7LyqZI5Bs1oR8z2tjmiZWbj8LCQtq5cycdW7rU/zdToimub6igrcQMi7yk9oxo16CXzOdcgtnKbnUdLU/iB9ExhSbkJV26lOixx7ZTSMh3xDBLqE2bPbLHDR9uIksG2qLFOnr++efpypUrLi9xV65cobi4OHOScDFwHEc9evSgrVu3unwefwL+JsBbePbZZ+0KXNoiJyeHEhISPBNXIyYVsqz8V7SttFhnlzwaFycrKZpYDfVg9VZ2PKlmBEMPYR1FQUfjkUhXFsinLuNYlr6doXPaYaZh1W/k6KuvjKJZbi7q9HR0qdZaQrS8x97yeFm/3iqnmiVTFE6t1XovwY6UA5LkfOj1ZPzlF9K/9ZbTdmxfNkX1DSWa4KATd88KciT53T/hCiVgHOkQRevwEDlyqBHsmzlsD9Ek4JbPqmAjdFQuSklzNycqx3G0a9cuh+X3XnjhBfr3v//t3sn8BPibAG/AZDJRaGioQ2NvcnIy/f333545qZQUMW+e8s98jYYq0tIoNjaWql97Tbbv5Y+WU+q8GFmHHEK9FOjMwmWZCccZ5tYQ6zc6leVGr/ceIR9+aMWVbJmicHpv1jpWnMXGJntNIDNFgsL6hjbN2pnGGUcYTuExHL08KZWenHZZts+AAZeooqJCUWFhyxYVJb5dSZ1FRzh79iwdOHBAts/27dspPDy8QQbyw98EeAM6nY7atGkjW8qktrbW+bRuchCTIoRUV05IFwVPPUXnFyxwTSLxghRjBCsStmH9wgdSKIYrjWEUMgRvq08ttAW2TNFSM++tpqjMljelZS83qdAMW6Z+EFGKMtP4pnF0zz1XJJmcVLPNrSo0T1TPKCkpodjYWFkValVVFbVq1cq5ULcAQaP0Po2NjcVdd92Fpk2bSvYpKChA8+bN0VIkS4xH8frr/PMoBpEA/o5r1qDnRx9JHyMHV45xAA046JhReKYugwfLEmbNYhAGA8ZBi1fxKbIRAS0mIBsRmI5VHqfB2yACkpMVdBSC1G3hqRQzYpmRYJ9AyV2Ikcuy8kkNzNi/3yvPmbexCtMRgWxMgBYRyManeBVajIMBYSj55z9BdV6a3zHP4CboHGam8R0YbNrUBocOOTfnmzd7iRwArVq1QnBwsGzGo2bNmmHSpEmIjY31HiFeQqNkinFxcZg2bZpsn/z8fISGhnrupOnp9osFkfxKNnOm3SaGiM9kGkBgiMNK5jkseyseGRkc7tSvQjZ6QIsJWIz5DSYUQw5FRQo6hYcD331nzVVYFli0CBg71jOEiOShk8qi5grGjuXJtfTUZxg+fVy4ksgPRRMVWNCLhGbMx2JMgBY9kI3PTj2I3WvW4K+PNmMmrYRcRhrn4Kn3WDxLzsCBzo+UlOQBahgGXbt2RX5+vmy/adOmNUimCH+Lqp5GVlYWNWnShC5fvizZh+M42rJli8MaYU5h0SJ7XYWcow3L8rqMBqSKyv31V8qL05HJQb9ADcWQa4KmW6roiRWEOk7r13s+4XVdZiRL9amn6/UKCdOFS1B0vYmJ/qkv6YEmV9+Qb0b64q3TNGvWWQ+e1nMB+VJjrV7t/FiTJ3tmuSsoKKCtW7fK2gwLCwtJo9E4dMoJNMDfBHgaX3/9NY0fP162T1FREW3evFk2M4NTkFq1Fi+WNwZpteLMNAAbBxA3eTJxDipyWIZiREFHc/CZR1PJ+aJJFT1JWqengnUWXNPT3MoiM5KYTdGTYRmWWQlFr02AL4yZHm46RNFnmEM68IY4sdAM+8ZRmzZV5Flm5r02ebJ8kqXoaO/aFU0mE8XHx8sKH0REt956Ky1fLpEeMEABfxPgadx111302WefyfY5ffq0w6KZTsGV2omCD7yvitj6oBlRH+f4PaKtPF+/R7TkoYHoqGPJNGJiiJ5h6sNfTIwXChwKmoM6iHmferp0lFC+UfTaiDzP9N1sSnKYRuN7svQAjcb3RAB9h2cUMcYAuExFbe5c6ZKsq1fzt0+KaXrCA5WIL8p+5swZ2T4LFy6ku+++2zMn9BHgbwI8iZqaGmrZsiUdO3ZMtl9CQgJduHDBcyd2lCDcQ56pgdw4gApWx1FMDNFIRieajFxMYgzknKlC2GB3xj45AScUOPTk/bNw/xRjip7kwQL5ktcmqEz9fRPqmpIcpnySbvuk3Acxkigmht6fXSCyv+E2R5KgFNP0hKTIL2t6SkxMlO1z6NAhat26dYNKEN6oHG2OHDmCoKAgXHfddZJ9ysvLUVZWZs7j5xFI1U4UPBeknHDkPFMbGBgAnUIqMWMG8P30vXZuAQyAm2Ft5Q/knKmCN2Z6OtCb7POAMkKBw4ULPXNCjcah+2ffvtYOMu5AKN8oeW3nzkl72/oYSnOY7sUtsHdIYfDtTd8DM2agCJ1E9jdcSHmYCs40I0bY11iMjnZcJkopunTpgtLSUlRUVEj2GTZsGBiGwbFjxzxzUh+gUTHFv/76C2PHjrVLgmuJS5cuoX379rLhGi5BLkG42GrGsp5zKQwU/POf+P7mVXhq1a12fncEIAk3W23rC/Gk032goAqwl/HJJ/w3Td++wHmmL0w2rwoJTGz+fGDBAvdPOHeuQ/fP8HDglVfcP5VOxz+eDq8tPNxzTN8NpKOvXQJuE5rgHKw/Im7FPkDkyXvu4FP4sM/3+OIL79IZKLjZ4jX74Qf+fi9dCqcTgDtC06ZN0a5dO9nQDI1Gg9tuuw1ardZzJ/YyGh1THDdunGyfoqIi5ytiCDAYeKZnEJFkDAZerBAWE0uISZKffCLOKD0lCvgAdjIux+HJ/bOQi1D8gGjzfgKQPiYaRzX8JyrLAlFR/GJnuyAbobFb7HwJluV5XFQUf0vDw4F3vwvHc8xKGAVJhdWAsdQE/Pe/7oVksCwwe7airrNnuye8TZpULyk4vDaDgZ+IBQv8+lz2QTpYm7owGhj5j6eoKDNtIzRHMaZTOmDx5EXjB3RDLt45byMy1e33Pjx5DvuxJk+2/i0mCY4YwTPKvXvrK8RYIiUFWLJEfJ8jdOzYEUUOwnTGjRuHv/76y/nB/QV/6289BcGeePz4cck+HMfRtm3b6NKlS86fwDbZt6V7otw+onr7jEXSb9LriebNM+c45QTPQ9s6jdHRAeXsoKTNxhIKg56ioKPZWEo/z9WZp8Hy8hnGPmdqxoIYeugh/5H/2GP1ZkLWxudk/3o9FazX2ntoupP+Tex5IXGbotjj5koTI9/u2ixPwjD8xPjrpjz0EL0wOcM+h6ngrGb5YBFR7CNraSlmkw5RpEcYfYY5/n4lnG69e1v/jo4mevJJywTffCo3na4+Wfjq1bxzja3N0DZnqmUNRbl9SpCfn0/bt2+XDc04fPgwtW7dWjYDTiAB/ibAU0hOTqb27dvLhlmUlpZSbGys80ZfOUcaR042YgzTYhvHMHThiSesVyrhJdfpiGbN8v8b6kSrz5vK0PtYQOOQSEfjxOOUBP4fBj1NYLX0yyK+XyA55CpKAecOwZbu6hZlx2zjFG3jJ5ctc/2U69creN79PfEiBJ9Y8AslMhN471OZwt5HVh+lBIyjBXjfIl1bw3KwGTCAZ3JChQwB339/koYMqbDqGx0tzdzknG084YhTW1tLmzZtorKyMsk+RqOR2rRpQykpKcoH9iPgbwI8hY8//pjuu+8+2T6ZmZm0b98+5weXC7mQ2yfFMG1LNwmugII0KQRK+/vNdLOZPVAlpCEiu498InJvwfdGmzTJwfPhLhe3+VAilqXaFSto48aNtGJFreg3lTunc8gUJ03y/6RbNtsPB9sHxgLWzKFhMUKxNmUK0ezZfNPpiDZtuqj4unQ6+bAMT4Vs7Nmzh7KysmT7TJ06lRYvXuzcwH4C/E2ApzBp0iT64osvZPukpKRQamqq84O7Kik649LeSEIzJJul9OwAgSQpCk1KNWV+Pty5f5ZFpusap9HQL4t+IpblHHV1+lSit0FYQV1Jk+Lt5pCL11+Cv0n1dgsLky9JZdkEKVNsn6ckRSKiM2fOOIz7/uyzz2jKlCnODewnwN8EeAImk8lhRnaO42jr1q2u2ROJ7G19tjZFsX0KJcVrpikqwxB42jvbJmp38UIl4D97z/Ao3ZIaR08U6vNWU1zCRD7DS+NqyiVFsdvrSZsiEZ/yzZFdMSUlhdq2bdsgSknB3wR4AmfPnqVmzZrJlopy2Z5oCTnVjdQ+safOYgEN9Fp0nmxXH36ajnyWKF7A12YqA/27QVJiXL/eeS8YCfGvFqxdlh9XJEWNRibHaaCLVxZM8euvv6aIiAhq1qwZjRw5kg4ePEhERIfiLtKKfx+hQRFX/U6u71o9Y4yOtnfM6d3b/jbb2ieV7FMCJXbFqqoqatq0KZ07d861k/gQ8DcBnsDPP/9MI0aMkO2TlZVFe/bs8RFFdZBRrdZmZtLJGTP8/Wb5tFkWL94TLV3ZN4ASqUg2SbuLs8QzDF+IWsKhyja5+nPP8d2dZYySQnpDEK+0Wvrtt98oKCiIvv/+ezp9+jQ9++yz1LZtW5obtcvFYsANv02davSoGtQd7N69m3JycmT73HDDDbRu3TofUeQ6Gk5QnAyOHDmC4cOHy/YpKSlB27ZtfUOQALGaP3XZQi41a4Yrt99uruNmB41GtLRUQ4YQXqcBh9FrZiE3RTxzzYCWBkxgtLKZbVgWWL3afwlXbr5ZYoezaWeIgE8/5eNYbWAbs8kwfCaaTz/lD1MK2WQ5t96qfCBPQriBMnNlQBgSmdtxuKw/lixZgmeffRZPP/00Bg0ahG+//RbdmCh8cWicRWB/48lWAzgqDUV4/vlijBjBxx+KwRNlopSibdu2KC4ulu0zfPhwHDlyxDcEuYFGwRQPHz7skCkWFxf7nimKLZB1K1ReXh7aXXcdGMugfku8/rrCqq8NE01gQn5SXeYagwFYv55vixcjdFQEEqi+aDHLEm68sQAsy3MCjYbnIU89xZc3FKaPZX3DJGVTZQmJGpwNdhe4XN1xpNFg3fgFyNOEmTcLMoAzYFnrjIN2EMsF5g0wTP2cWN5Ai+efWBamO+4ANBpzUeDbaReipnaFTvc2srJmY84cPsicZVlc1+lOu0w3jQk9ewKjR4vvmzr1CkJD+Y9Gqe8ayQ83L0ApUzx8+LBvCHIH/hZV3YXJZKLWrVvLOtmYTCaKi4ujq1ev+pCyOtg64SxaRFxCAiX++GO9049UYmmxbU880eCC+cWaEQxvW3RQOotjNbT750RKTk62M9uK5UTwRVjnunUKfD9cTBbOMQydu/9+2hYTQxs3bqTVq3fSAw+cJ4ZxXjVoU3hDHL6q1PLcc9bxt5aBl3XbUzZsoFOnTtGhOLGwA+vfkycTPX/ffwkOK180jBYZqbzv6tV80Py2bdvo4EGOPvuMnw/LPq44zLiDkpISiouLk3Wk0el01K5du4B3toG/CXAXaWlpFBQURNXV1ZJ9lNwwr0JYDBYvtgraN61cye93xg41b16jiGG82rIT0ahRivomffghFRcXW02pbU4EoXSlrxx0ZEIvrYl0hTFqNFRy+jRt3LiRTp68YheWoaQxjEL6fPWBJRBk8Q7YTuKVK1coLi6OPvmkWtGQTZpUUDOU+PtRdrtNmcJnp1Haf+lS/kP/9ttzyPJjYcoU9xxm3IESwaOyspKaNGlCGRkZPqTMecDfBLiLX3/9laKiomT7ZGdn+97JxhaOYh2VLp4sG3jR7V5sHEBpNl4tQjmncUikKOj8VotRiSRmys6m0vvuc9rLuHbnTtq4cSPt2FHrJF0cPfaYyWuSrFuNYSinriaiDlGUiHGUw/awErtTUlLomWcMTl1vADymbrVHH3Wuf71zjf21+4MhClDibDNs2DD6/ffffUSRa2jwNsWAtSfaQsbpxqlqBBwHPP+85+kLUDAA+rzyCrBqlXlb2RerkEkR0GICdBgJLertj7ZYvtx7dkaOA0aNsiLNjNraWqSnp2NnaioKmzRxzgVEowH17g0A6NOHnDRPMqiuzkJV1TnU1taKd1m1iiecyJmBlYNlgWXL7E9LTyMS2ZgALUZChwnQIpLLwOxnysx9li69HjEx3Zw4WcN3rvn1V+V9J0+GhXON/bX70rnGFo3Gruhvruwu/vGPf9CyZctk++zZs4eys7N9RJEEHOVIJWpURYc93iykak5C5VcLjZXEKBzibW2z5W3kOI7Onz9P8fHxtGfPHso7dEiSXnNr3976d3S0Ve5T21BX2+62jWU5+uOPAxQfH0/nz5+3NhuIPYeebosX251HjzCL0AnbxsmGFqiNb5YJYQJRUszKyqK9e/fK9vnyyy8DPrNNg5cU09LS0L9/f8n9ROSfcAzAutRUnVciCZ52toWIAeCf/5QfLwAKvvoNglSdng5Gog5lE5jQn+U9Wi2n14EiwWOklZeXIykpCQcOGMBejMSAXCO6nD8vSa8Zly9b/1671lyezGAAfvpJvrstOI4Bx90E9mIEMlbF4tDGjSgvL+d3imksPI2oKLtyaWnMABlPUQZJSdKhBSp4vPtu/f8jRgCPPWYELMpJCV7R7pSCcgeCpEhEkn369++P9PR0H1LlPJr4mwB3UF1djaysLPTr10+yT2VlJTiOQ8uWLX1IGXgV1cyZ/ALEsvwCMWMGro4ahdS4ONz0+ONA9+7Wx6Sn8x98YmBZYNMm4J57Gl9xYqVITa2vnycyBxyrwdoDffB3uXVZSyEyxlvTxrKEpk1zoNWexKFD1+PC+9vxLc2CBhw4MGAZRvq+isFkAnP+PADg3DnGabpZFtj+8CqswEyeBobFyRdfQOu5cxHZpw8Yb06GZVDkjBl8Acdz59CmrD+YqRxIIgqsbVtg2zbvkNRQ8PbbwAcfSO9PSrIOBVq7tgmiopJQVTUcEyc2x4gRfJTLmjX1faKjPVtYWA4tW7aEyWRCVVUVmjdvLtqnX79+yMjIQG1trecLvXsK/hZV3cHp06epRYsWsuWi8vPzaefOnT6kimRVpbKVOqRUW5ZeeoGcp9IXjWX5ObBJk8cBsn7oYmUqPZOqlKO77rpIP/+8m777rpjCoScjrO8hxzDOqSw1GqrJyKCNGzdSRkaNU4eyLEnQwNKxt94i3Z9/UvW//uWZe2E7kTLlnIiEVGSCyq9e9WebouxabEJaNrnXW0w1unfvXnOFikDIbLNjxw4qKCiQ3G80GqlZs2b0999/+44oJwF/E+AONmzYQNdff71sn4yMDEpOTvYNQQJkykkdPXqUTp06JX2s7eo9b551PFcjiFF0u2k0RHFx9vZXB5U4xOIctVo+VFKYctdMuhwJi/w4SNz7d95RNlhd6IKlTdGZyI533pGhAfzHg0v5dgUC6mJtRSdSZu6lFuy33/b/4xQoTWBeOp19iIbU997Jkyfp2LFjROS5UlDuICkpiTIzM2X7DB48mOLi4nxDkAto0OrTtLQ0WdUpAJSVlSEkJMRHFNVBTF9Xp1YqPncOffv2lT5WUDklJ/PP9Jgx9XpAX9iDGgJMJt5gQmS/XfDmFUF4uPUu4fe4ccCjj/KH9ukDHDsGTJ0qNgJB3Nuxfls6+sIEFhrU3yfSaMDcfTevG7Ol2RYsy99/C0yaxJuTlRx6993A6g/6wkTWNNhT6gTi4oBhw+onyHZ+bSdWBFL2wt27XSGoYSMiAsjOtt8uqEdHjOCdd3/+mb+njz4qnUGpTZs2yMzMBBAYmW1atmyJsrIy2T79+vVDWlqajyhyHg3a0UYpU/S5PdHGyUDw+uC6dUNpaSnatGkjf/z27bzTzSOP8G+Q4PPfsqV42jidjnfomTLF89cSqBAzvsgm+ZSHwBwBICQEeOghsV6OWcoFhGMmVsJY51TCsRowK1bwq9p33zl2lhIYuwWUfAsxDP/IjRgBvPtdOJ5j6mlwCw89BISE4IcffkDkU08huE8f3HTTTdDpdJKHfPfdd7j11lvRrl07tGvXDhMnTkS7dqdE++7Z4z6JDQVt2vCv6u+/i+8XfAGfegoYORL44gtg6VLgm2+kx2zbti1KSkrAcZxoxj7ZlIReQGNgivC3qOoObr31VlqzZo1sH0c6bq/CRq105coVio+Pl8+sI2WPtMwEYrldrnbjtdYWLbKeR8tUYgpgmyXn8ceJ3n2X/+ssKa8/rqeC9Vr78wvlpdavl1UBW6pPxW4ty/KHC0OJnWb/ej1dfcKFvHeWF153YiNAe596yqpCRX5+vug8PvbYYzR//np65RUDrV+fQU899RS1adOGJkyo8Psj4u8mVeNQaFOmyB9nC47jKC4uzirjk7uloNyBEh+O77//nsaPH+8jipwH/E2AO+jSpYusvdBoNNLGjRupoqLCh1RJIysrS9rJRoCUPVJsVbR86htCvSVvt+XL+XlYtEgylZgUpL4pGEaJPc8+XsyBebMeEgWqLZmiTDeXLsqhTVHqousuymQyUbdu3ejjjz8WPa3tgn/XXSYKCnqDRo487/dHxN/N0r63erVrx9nC0tnG3ygrK6NNmzbJOj/u27ePwsLCfEiVc2iwNsXKykrk5+ejZ8+ekn0qKiqg0WgQHBzsQ8qkoSizjpg9UsyFnuMAIfYMAAI9S4Qv8O9/22/jOGDWLN4wJ2P3klJREjk6KUFMrerAvFkPi7AFUXudc92sIXFRjCTVdZC66LqLYsPDMXHiRCQnJ9t1SUmxDgkAgK1bGQAfQ6dzOJmNHrt2AXPm8P87ije1hJxdsE2bNigpKXGLLk+hRYsWYBgGFRUVkmarnj174sKFC6ipqUFQUJCPKXSMBmtTzM3NhUajQadOnST7VFRUoHnz5mACJOi9uLjYsT1RzB75xhv2tiiW5Y1fAB/h/frr8uMGyBz4BSJ2Ols4WwaxHuLzyrJOmDcFg6YDTqewWz369pW87y49DRY22y5duiAvL8+ui7hDDWPz99rF5s31QfXt24v3sS0X5cguqCS9mq/AMAyaN2+OiooKyT6dO3cGwzCiz08goEEzxa5du4KVWcnkgkj9gbKyMrRq1cpxxxkzgKws3nnmk0/4Zvv1bpl4U84TQ6MBYmKsCw9ea7D8gBCDwYDwdC3+90YKbmfFihs7L+G88YYC5mWZ8cgJKD4sPBx4800XqLc5H8KQgAnY+OQfWLI+XDZTitRCf60gOtpxecqkJN6Z5umnxfcnJ/M+c0uX8o45joLvW7Vq5dC5xZdo3rw5qqqqJPc3adIEXbp0QW5urg+pcgL+1t+6it9//91hdYyzZ8/SoUOHfESRPAT7ZlVVlfKDlDjPaDS8bVHKIGZpd9Tr+bp2/jas+KOxrHXMpwCR8kkmhqVnmJi66eVo+vQzTpdv0mod3Ftbrx4bI6GtTVHhYXbgEhKcmieOZanmo4/MBsyVeIYYmOy69uq1h6ZNm2Y+j1hs3bXUBg60ftXk7IVKbYlKHWUqKytp48aNZDQalR3gZaSkpDgMzr/hhhtow4YNviHISTRoSTE0NFS2T1VVVcDYE6uqqsAwjHM6dCW++CYTb1t85RX7fUTWdkeAV81ei+A44NNPgR496kNcDIb6VHwWYInDSnYWktbpsWHDMTz3XBlWrmScELQJLVqQ9G7b8wp2Twein7OHEREyCgoUS4qk0SDzzTdxbOJEICsLx5fvx0ysFE3NlpFxC8LD7wNQH0Jw6JDCEzVCpKZa/5ayF0ZFKbclKq140axZMwB82stAQHBwsKykCAChoaEBKymqTNFHqKqqQrNmzZyzbyoxdAl2ntmz7e1HtnF7avA//6EgcBKZ+WBMJvRlDqBJkzwMHTrUrNFev16JeZbBmTPZIKpnR1YqT7kyYjKQPcxGp0pEOHPmDC7n5Di25LEssH49mKwsdPvPf1BYWIgLDIOEitGQtgMy6NLl/jrHGqVst3HDkolJBdIvWya9zxZKg+4ZhkGzZs0cMiJfITg42CGDVpmiF5Cbm4tu3eTrrlVXVwcUU3SaFjGnm+hou6QA5owilnZDsSocrnuTNC6YTLzhRmY+iGVx8dgxXN+hg/lLPDycj2W3nGaWFfsWIWg0mUhNTQURYdUqPgfDhAn8318PiZxXQeIBMXI1GmDoIesTUEwMzpw5A4PBgEH33GN/EMPUb9No+GfsoYeA8HAEBwdj0KBB2LDBgJwcOWZHuOuu1vj5Z0B1oOFhycTkAunF9tWVz7TrqxRKpDNfQQkt3bp1C1imCP9qb13HnXfeSStWrJDts337diosLPQRRfI4d+4cHThwwLWDpZJ2igXCOcpDuXixeJwawxA98cS1U8+RYYjuvpvoscfs7bEMwyfxBm9jEzPcWU6zWAzh1atXaevWrZSQ8LedPVKjISpaLB94KGdTtDzsl0X2dmeOZUn7009UWloqflBMjOxz8uSTJnJU0T4igqhzZ//fRl+2yEjpfVIlAuUC6W33uRN0n5ycTOfPn3f+QC+goKCAduzYIdtn2bJlNHnyZB9R5BzgbwJcxXXXXUexsbGS+zmOo02bNlFZWZkPqZLGqVOnzIl7/Ya6LC8Vr7xCJlsGMXMm0bp1fJqUazEzzrx5RG+9Jb5PQSS+GI+5evUqffLJQdEhtVqJg+ogxRTtziWRtKFiyxbHBIpArtDv6NHXrjPN228TzZ5NNGCA7T6ORo/mk3H7s8Dv0aNH6cyZM/4jwAJXr16l2NhY2cxdGzZsoBtuuMGHVClHgw3eLywslI1RrK2tBRGZVV/+RnV1te8Tk1vCor5jMMvi3MyZ6DtxIpCYyKtZV6507ITjbF3AhoQlS6SvTVC3duzI6zBFYi3EcmK3atUK99wzCG++SSCqVzGaNaUKEmmLwfow+2QPpNGg+XXXOSbQAikpfIxhTo70eUVi9a8Z2KbaHTgQGDAgC6WlXbFrV7B5bnxZv9ASwcHBqKys9P2JRRAcHAyO42A0GiVrJnbq1AmFhYU+pkwZGqyBqbS0VDbmr7a2FizLokmTwOD7fnX6sXFbZDgOfWJigMhInhEqYXQaDW9M0+kap12S46TngWX55OyCUVDwXlWAAQNa4quvqsGy/NgaDdmZet1CeDhoxQpQ3T0hTV0CcidOIHiPvvoqn4T6WsTq1Y7jCy2RmgoMGFCFXbusP7rXrPF9xXsAAeVoI6y5tbW1kn1atWqF0tJSX5HkFBrk6sZxHMrLy2WrXxiNRmgCKFhd8D71C0TcFhmOA/btk/ZGFRgfywLz5vGulzNmAGVlznuwMgwwYIDzdAcCBOlYYJgcx39grF+vOOj+hReCcfp0ORYu1GHHjnRMn+45aZuIcGb0aOxeswaVW7aAEe6TAqSk8CnHbNOyNWS4+soXF/MSnk6n3MElKakzxJyMlIZSeBKB5GjDMAyaNGkCo9Eo2UeopkEBqHkKDDHKSVRUVICIZCVFo9EYMFIi4GdJUSSfKrEsmFtuEc+ryrLAgQN8jKNtok2x3KxiWLqUd8fLygIKC4EXXvDc9fgati8ux/GSI8vykrYCJjRgQEuEhQ1EUlISUlONGDhwoNvpB4nI7GV68733orkTJdKeeqpxMUMBJhN/a7p1A4YOBTZsAGJjHR8neI6OGMEzxpQUnrm1bSudeWbixDLs2dMOtozRl/ULBSgJg/AlHDHFVq1awWg0BlSEgIAGKSkKKY0cSYqBwhRNJhNqa2v9d/NtQjuIYVD89NNAaCi/3VIdalmYTyzRpm2YiBhYFnjwQeDECX6Fev55WRVt4H0rWkDuS1Zh0L2AVq1a4eabb0ZOTo45XMN1siwY4s03O1UzVCxpd8OC/LytW8d/k/31F/Cf/zgeTSz8YcQIXop+6ilxtWp0NDBoEDBgQLnddl/WLxQgMEUuQOKQlTBFAAGVnk5Ag2SKpaWlCAoKks0OE0hMUfiC86vTjxB9Pm8eAKCdEDwH8GXA16/nW06OY8lHGGvJEvH9QnadZ59VZK9s0FFuCoLuLeEJxugOQwSkknY3JCh7YgTGHxUlvv/ee5XlFhXUqnPn8k2or/zgg91x9mxL8zmUjOUtBFpWG0dMsVmzZtBoNAFpV2ywTNFRYu1AYoouZbPxFpYsAWNpH5s1i///oYfMAdyKIESyi0WTz54N7N+v2FOVXJmXf/zD+WO8AQVB97aQZYw2mWlsk3+7yxAB5RlVfIEOHZw9guCMbuHXX/ksMmJ46y3lUt2IEfw3oPAdyDPc+ufW3ynuWJZFUFBQwNgVHTFFhmEC1tmmQTLFsrIyh4tBIDFFk8kUGLS4mF5MEmIZd5R4PjKMOQ0MsSzyP/gAWLDAuXNv3+4CwR4Gyyq7XhHYMka9nnB2/ipQXWaaJn36oOyLI+jTpwkmTADG9DBg87xEpCUmusUQAfGMKv5CUZFz/ceOLcXddztRiBDy2WVcgZSk7Q8HG0s0adIEJpPJv0TUwRFTBOqdbQIOzgY27t69m+6++24KDQ0lAHaZzktLS+mFF16gsLAwCg4OpoEDB9Ly5cut+lRWVtLzzz9P7du3p5CQELr//vspLy/Pqs+mTZuob9++1K9fP4qLi7PaFx8fT0OGDJGlM5AqZOTn59OuXbv8TQaRXs9naHEyMF3JuHaB4Xq9fXYchiFav57fV3eM7s8/66uGP/igdf/Bg+Uz7Hg4+47DivRCk6q4UZccwZn5vHr1Ks2Zc4K6MzlkhPW9qYWGwqCn6Ygx7zMxLFV+/bVTt0enEw8ub2iVLaZMIcrMzKT9+/dbZX/R6YjmzhU/xvKa3ckYYztvjs7lD+zcuZMKCgr8S0QdlFTKGDhwIG3bts2l8b/++muKiIigZs2a0ciRI+ngwYPmfWfPnqUxY8ZQWFgYffDBB06P7TRT3LJlCy1YsID+/PNPUab47LPPUu/evUmr1VJmZiatWLGCNBoNbdq0ydznueeeo+7du1NCQgIdOnSIRo0aRWPGjDHvr6qqovDwcNq5cyft2LGDwsPDqbq62rz/999/pxEjRsjSefr0af9nkKlDbm4uJSYm+psMIiKqWb6cTAJjFEkv5lGIpRezQUJCgvUHke3KJVXuSqMhWrSofnyGIZo6lWj5cj79iAtMtGTsWGWM0eYjz3ytztR0ovrLY1mOxkE8M81MLLdjls58yERHWx8aHW3f55FHlDAljjp1ku8zbJj49rFjiR591D4t3OTJ4v2FMkwCs5s7t/5xuHjxouS7pORaPQX+XJx5brx5LqVISEig/Px8f5NBRMoy7AwfPpz+/PNPp8f+7bffKCgoiL7//ns6ffo0Pfvss9S2bVvztU+cOJGWLVtGhw4doqioKEpKSnJqfKeZotXBIkxx8ODB9P7771ttu/HGG2nBggVERFRcXExNmzal33//3bw/NTWVAFBycjIREZWUlFBERARdunSJLl26RJGRkXT16lVz/3Xr1tGoUaNkaTt16hQdP37cncvzGC5evEhahwX2fIOKigraFhNDnJMSjctwkF5s69atdPnyZcfjLFpUz3Qs83euW1cvfQqQ+pRfsMCaiVoyscWLKSUlhbJ+/10+zR3DiEuILkrgiYlEYdDTQ1hHRtgz7WyEUyLGkR5hpEeY+X/HBRuVSzRyqd2ERf/ddzOIiJfWxPpER0vXCVy92vpcc+fyKdN0OntG5igdZlFREW3dulX2mj0hDSrBgQMmmj79BO3ZU+n9kylAYmIi5ebm+psMIiI6duwYnT59WrbPiBEj6H//+5/TY48cOZJeeOEF82+TyUTdunWjjz/+mIh4Znvw4EGqqamhadOm0ebNm50a3+M2xTFjxiA2NhYXLlwAEUGr1SItLQ133nknAODw4cOora3FxIkTzccMGDAAPXr0QHJdrqTWrVvj6aefRmhoKLp164Z///vfVo41HMeBdZBVhYgCw7EFgUdLdadOYMaP92BaFRmEh4uHdtSB4zhcOpqHo0u0yE2RCW2YP5/3ktVqec9XgLe/PfII6J//tLYxShmR/vtf/litlveyFcbLzgbmzYPJZILpxhuBf/3L7MpBlmOwLJ/Vx/Za3LDVXn94FbIRgfV4BAzIfL7dGIO38AEewB94H+9gNPajB3IwAVpEIBszvxnqcGylti+x6QqDHuOgRRj06NGjFpMnXwIAxMfzXpZLl/JZYCyrwz/1lH21h969+e0CvvkGWL9Uj+NfaHHfSD2A+vF0OmDzZunrOfHDYfz1+K8o2iFdXUEIpfBFWMTIkQymTctAVBQ57uwDMAwDosCgBYBDWliWddoGWlNTg8OHD1vxD5ZlMXHiRDP/eP/99zFx4kS0aNECLMti0qRJThPuMiAiKVZVVdGTTz5JAKhJkyYUFBREa9asMe//+eefKSgoyG6sESNG0GuvvWa1rbi42EpCtBzj1ltvlaXt5MmTdOLECSeuxnswGAy0Z88ef5NBRLzNVy6Ruq/xy+3vmtWDRrC0J1qB2lGvJxNjLZmZWBHJzEmxISkpifTJyfZjMxp7adSGHpckRbHjAPoJj5nnRFDnGsHSq1hM45BIYdCLSny2cNb2JUhx0/Gd1T2ZgZUUE6Nc67J6NdG991pLiML4M7DSbmwlt+f33q9ZHfd779ccH+QDBFLRgd27d9OFCxf8TQYRER0/fpxOnTol22f06NH022+/OTXuhQsXCADt37/favv8+fNp5MiR5t9VVVUu21c97hL51Vdf4cCBA4iNjUVERAT27NmDF154Ad26dbPi7krQpk0b0e1CgKpcbj3hC0Suj68gJCcPFFoYhgkIWnJTDHg44QNowN9PDTiMXjMLOTMnIHSEtBRbuCcVoWQtmbGcCbl7z6Ljg13qNw4bxjcAUHC9JpMJJUf0CLcdm0zINbZDxy5dxMfp0gXM8uXQPP88GJMJpNHAtGwZSKp/HZjUVDSxkTCTEYVH8Zt5TgT9ggYcFmM+GAAmsJiJldiz5ykMGyYdrD1sGPCvf7FI/Oki+uIc0tEHE/7VDcOGcaJkDRsGHP/xJJ7GLKt78i3+jfc2/obaJwdKnssSjz/ON8D68o//eBIr8Jzd2D+uHY5hw64TGYnHqTVHcN/5T62Ou/f8Zzgacz+GRN+oiCZvgYhw9epV2ZhpX+HKlSu4ePGibKEEXyEzMxMA0K9fP8k+ycnJ6Nu3Lx555BGPn79Zs2Yuz4NHmWJlZSXeeustbNiwAVOmTAEADB06FMeOHcOnn36KiRMnomvXrqipqUFxcTHatm1rPjY/Px9du3ZVdB6GYVBSUoItW7Y47JtVp2oLBCih11cIBFqubsrBv2C9qDeBCbtXxaP1pR6Sx2Ud5fAiWPMiCQBGaLD+yFVEtnDvuo5kB2GAC2PvPDECm0yZ6I3zOG/qjXtOFOIOB3NckVaKh23OdQXtrX5bwpJBrsAs/JTFYcuWzrLn+MDwBdZACwa8KjjHMB5btsyW7N89S2t3/iYw4RZmH7ZsEa94oBRSY3fL/BFbtoyXPK5g5THcIHLcoe+2I6dTnls0eQI6IZo/AHDhwgVcuHDB32SY4Widuc62mosDdOzYERqNBvn5+VbbneEfjuBRplhbW2uuTmEJjUZjlu6GDx+Opk2bIiEhAQ888AAA4O+//0ZOTg5Gjx6t6Dwsy6JVq1aYPHmyZB8hKHrQoEEuXo3nkJubi8zMTIwZM8bfpKCiogK7d+/GXXfd5W9SkNvJANPqOXYMaOyMu2UlRcNQ4LnPVmA5PYcmMMEIDf7NfIu3np/qlpk0JSUF7aeFOj22wQDcf38TcGBgQHcAwLffhuPVV4fI0vNXCwYzUY0VmIUmMMEEoCeyYLJhlGJoAhOejLwKbvJTcheEJlqtmZkyAHpotej23/9KG906dQIX/yVYC2sqBwbd7rkOA2XeN0WQGPv2Nx6WNQKeutQVppT37Z6TqGcnYchk/0qKW7Zswfjx49G8eXO/0gEASUlJ6N27t8eYgzs4ffo0NBoNBsgUArjpppvQo4f0x68YgoKCMHz4cCQkJODee+8FwGsOExIS8OKLL7pDshlOM8WysjKcs3AgyMzMxLFjx9C+fXv06NEDY8eOxfz589G8eXNERERg9+7d+PHHH7GkLhVEmzZtMGPGDLzyyito3749WrdujZdeegmjR4/GqFGjFNHAsiw4jpOs1QXwjNhkMsn28RWEwP1AoKVp06YgooCgpceYnvj19nfwUMIHZgaUHL0Ct47pKXtcz57AqO+eQe+Z/0BP7hwy2T54Z2U4etocJtQIvPVW8TXXYOB9ZIQSiU2aNEGXLhxGffcMej37D/Sic8hg+uDlReHIygKaNhX3F8rKEvOzYZCd3dSOJksMHAj8wM5AO+4KFuJ1aMBhANKwF7dgDJLRBCYQYJbybF21NLfdBo3cfTxwwG4TA6CpTgeIfaClpPDHTJkM2rzZfN7S++9D9dCh9c+Mo4n94Qc+E/d991l72YwZA0Q/CVqzxjw2G/0kWAcfizc8cxP++GQe7j3/mfk52dj7VTz4zE2yx3kbVOdI0rRp04B4nwD+GQ4EWhiGgUajkaWFiFyqZPTKK68gOjoaUVFRGDlyJD7//HOUl5fjaanM7c7CWSOkVqslAHYtui5QJzc3l5566inq1q0bBQcHU//+/emzzz6zqsIsBO+3a9eOWrRoQffdd59TrsTr16+nm266SbZPIIVk5ObmBlRIxsaNG2WrYvsS27dvpzM7TtDRpVq6qHNc3d4ykkQu2kMqZk0YY/Fiu4gMOnr0KJ06dcoq5NAytJFhxMMP3YjIoF8W6e3iEDmADOhKR3E95YIPDjTVOZgQ+KD+ogefdTy4M542thNm0S5Pm1Yf82sbkxEVZT1e797W+3v3FqfL0gFKKruADY6vPkT/u+tr+vmVHxxfuw9gNBpp48aNVFVV5W9SiEgk5tePUBKSERUV5VKcIhHRV199RT169KCgoCAaOXIkHThwwKVxxOCW96m/8Oeff9KNN94o2+fMmTN05MgRH1Ekj7y8PEpISPA3GUTEe2XFxGyjnTuNPgtTlAuJ3L17NxkMBofHv/VWPYOyjI0X9ut0fMjiunVEcXHi6/tLL8mHID7//GVauPC0w0Q5Ymu3gjwFouASEkRP8inm2sUt1oKlB7GewqBXEqbIQ0lEu1SAoQWTvvzSS0Rjxkj3i46WTprw9tt8YOLs2fy5LBmgLX2jR8sySL1eL+/JrZDBegK1+/fTyaefpup9+7x+LiXYtWtXwATvHz58mFJTU2X7XH/99QHlCS+gQTLFHTt2UL9+/WT7pKWlUUpKio8okkfApHkjopUrTcQwnB1z8QaUJHk5cOAAnTt3joh4BrdsGb+G6nTWx9s2IaGNHJNzvnFUn6VEujGMdJY3mTwFduA4js7u2kUcY8v8NPQQ1omefCy0xLIc5eQ4IelLhaY4kedNcQo8Z5pUShuhTZnCM9JHHjFH+6enp1ul9LKCj1PaCHPCeftcChFIad4OHjxI6enpsn169+4dMJm+LNEgmWJycjKFhobK9snIyDBnyPE3Ll26RDt27PA3GW6p+RyNaysNSqU+XbeuPvVpYiLR9u2nzSpLZ9dUD6c+den8rn5UcBxHp06dom3btlHl118TVydm1kJD0xFDYbBXq9ZCQz3YHJoz5wSdPn3aPRW4jLo0kNvladN4s4ilRKjT8UxT7Bjb5KeekCIDNPnp9u3bqbCw0K80CNi/fz9lZmbK9uncuXPACC6WaJBM8eTJk9SqVSvZPjk5ObR3714fUSSPkpISio+P9zcZlCieXlO5Kk4EUtLgOnFBx46hsSxHL7+c4zSD8zdDFJorHxWWDLG0tJTfqNdT/Dwt9WD1deNytHb8O2ZmyWk0lDovhvR6Pon41q1bXWeMjvO6BWzjALo6dqzyY+bO5a/Zk1LkZ5+Jn2vpUtfHdBMcx1FcXJxoshN/YM+ePaR38GK0aNHCoYrVH2iQpaNatWqFsrIyEJFkHyWlS3yF4OBgGI1Gv9PTt694+cOQEOuafUphMAAzZ9Z7XjpTiF64dRzH4MsvwyFzK0Uxdqxz/b0FZytvEUnUQwwPx5TF45CUHQ6tFkhPN6Ll7BthTE8HtFowWVkYsHgGwsM9UKg4kKoMt27tVHcGQMvdu507R0pKfcVhAWvW8NudHWfJEqB9e/H9N9/s3HgehNFohMlkQnBwsN9osISj0n0mkwkVFRUO6+L6Aw2WKRIRKioqJPsEElNs2rQpWJYNiAKgr7wCsCy/iGo0wBNPAKNGARMmABERwKefKhvHYADWrxdP+fnFF7z3vfJ0r87nhf3rL6cP8QqcqTEsyRAtYJcqViJ3rFuMMZCqDF+96vQhTj0tjz4KPP+8+L4PP1TOGO++Gxg5Enj1VeDpp4Heva3z4kZFOUOVx1FVVQWNRhMYdVvhmCmWl5cDgMoUPQVhMZGr2qzRaAKGKTIMg2bNmvmVKa5aVc/0iIDo6AIkJwM//WQt6c2fDyxerGysV18V3//ZZ8D+/cDChfaSaWOC0prKgDKG6CxcZoyBVGXYm5g8Gfj5Z+DQIfH9mzbxjM4yllIMU6bYZyo/fx7Z//d/qBgyhP996JCysbyEqqoqNGvWLGAKDzhiisLaHRIS4iuSFKNBLllBQUEICgqSZYqBJCkCvAq1urraL+e2VXMSMfjpp07IzLSX9ADgjTf4D2gxlartWGIgAh55hB9n8mTgo488dy2BgqVL+aD9GTMc9/UGQxTgMmP84Qe+LMW0aR6jJWBw551A587Ali282sIRxFSpgqr0hx/4cUQQdOYMmp865XgsH6CqqipgVKeAMqbYokULl4L3vY0GyRSBeruiFJo2bQqTyeS8vcVLCA4O9pukKFbZiOMYMIy4JMdx9SrVHj146VFgjvv3yzNE23Hi44G33nKP/kCDRgM8+KBzEuKlo0dxm8mElsXFHqenVatWiIy8BXFxZdBq052TGP/zH4/T43fs2AEUFDh3zK+/8n9TUvh5sVSVSsBYWyuuyrWtzeUDBBJT5DgOHMfJMsWysrKAVJ0CDZgptm7dGsUyC4yQtd5f0pkt/MkUxRxsWJYQGQk8+6z4MfVSJa9yjYgA/vEPXgK8FiHMnysqU4qJwdjoaDSfMoWfyFWrPErbqlXA4MEt8cYbIzFxYl/897+5qirVWSxdCnTsyDNDKXWrJQYORHFkJERn2Q8ON9XV1QHDFIU1V65ySHFxMVo76WTlKzRYpti1a1fk5UlnyBfy7gUKU/SnTTE8HFi5kl/QAUCjIYwadRGjRhFWrOC3CaYIKZMEx1nX8W1s0GiAl16S3nfgQH19Y1GVqcFgpW+2lBAHf/klGFdcdBVATDX+3nuhdhKjDXnWEFSpQuVgKQx1XNi4QaOoSHnf1FRct2QJuG7drLdHR/umwrENBJtiIKCqqgpBQUGyheDz8vICInG5GBosU+zWrRsuXrwo28ef0pkt3KFFdkFTiBkz6ovOP/ccYf/+buA4aw44cSKcDo1oDGAY/tq//rr+N8MIHrr8h8OIETZOoJY3RfA8qnPhpZgYsw3xpvbt6xmigLo4Dpfvq8WBUqrxQ4eKzTZGG/KwapXIMyWUrH/qKdQ+9pi4BHTiBNChg5PENiK0a2f1kwHAXrwIXHcd/0Gh0/EfGK5CsGO6YJMMJPWpEqn14sWL6Gb7QREgaLBMMTQ0FLm5ubJ9/O3xaQlXmaKiBc0CcvvCw3nN0DffsLB1bCcCdu1ymrwGi+XL+ZCSWbP439u3138QEPEewx9/fB6bNp2wlwwtb0qPHrwO2kYSvHT0KG6++WY0HzpUNDj015Q+dvdVEWweiOsPrxKNPZ02bRBycnKg1aZj5kyyIm/mTJ5sqXMfmzMHZ3/8EZg71/78gjQ1cCC//1rSp1+5YreJAYCTJ/mXR0xClGN0lvueeqrejumCF2sgMUUltOTm5iI0NNRHFDkJX2cL8BQ+/PBDeuyxx2T7HDp0iM6ePesjiuRRXFxMmzdvduoYsbRsLCueGJvIca5RsfGuxSZkoXE0H9u3V9PmzZvpwoUL9RO4bp2idDoVW7ZY3xiLbOFFi2McpturqamhjRs3Uk1NjfwN1Gjol0V60WTkV69epU8+OehwPli2Pv2ewWCgLVu28JUfpDK3CE1IsebvGxoozTbNm1wWHSVp9pxIGxcXF0clJSWK+3sTqampdPjwYdk+jzzyCC1cuNBHFDmHRi0pBpr6tLa2FiaTSfEx4qox/o0R/hfMUwaDqMBiJTGKjXetgWXrHWXk5qMHa8ANxUm4oVMnnDhxArXffsuLVY88Un8DJEAMg+aWFcUtdddZWTg+fIZo0gOHmXHECDaZ8OiIc5bDmyXbVq1a4Z57BgHiylAzOI6/rIgIwuLFlzF06FBcutQM+5vfLn9kUpLqqGMJS69TuSw6YvscjSeDQMtm09AlxcBIf+ACQkNDFdkUCwsLfUSRPIKCgsAwDKqqqhQHrApeo3KMTFhMN2+2X6uFfYIdrGVLx+M1ZrAs7zAjaLnE5jcMBszBF3iF+wzsIwRiWdQ8/zyaLFumeOJEfZXCw803oi/sz6soM44YwXUHWgxvhZYtW4JhyBEfB8DbIr/6agjCwhi88QbAcddjBlZiJWaK21kEL8sffuANrp4q8tpQ0bZt/f9SqfSef57PsqMECr1Yq6qqwLJsQBQXBnh6HHmWXrx4MWCZYoOVFLt166ZIUgwU71OGYRAcHIzKykpF/YWq8AsX1nuNsqy9d6iQu3TJErFz8vsA3m40atS1yxA1Gt4D19LsY+uV+wyzCjlMBObhU7B1MhLDceixbJm9s4wciGTFPntvYIVhHi4cmJ4OECnPcsJxDF5/vf45WYVn0QN6LMar4CzZva2X5VNPqRLj00/X2wKl8qMeOiS9zxJTpvCMVYHTTUVFBYKDgwMmm41SSTFQHW3gb/2tqygoKCAAVF5eLtmnsLCQtm3b5kOq5GFZO1AOtrbBRYv4+n22pizBfiRV/QLgj3nrrWvblsiy8uYZvZ5o/3o9cTKTZFdPkGGIe+QR6ZO+9ZbD+yxXf1HUpqjkQBu89ZY0iY8+6ly1kR5sDhW8+7X8ZDooWHxNtNGj5fcvXSptUxwxwr7OpIOKHmlpadI1Jv2ArVu3UlFRkeT+q1evEgC6fPmyD6lSDvibAFdhMpkoKCiI/v77b8k+VVVVtHHjRqqtrfUhZdI4e/YsHTp0SLaPlHON2DZhbVIdaBw3h+Wx5L4sbJplcVnJ4rss61ahSlmmqBBiNS3rm2VBZceFlRXPoyPnHLXVv7jOfEDIfIikpKQEjEOh8NxWV1dL9jlz5gw1b97cvXqgXkSDVZ+yLIs+ffogPT1dsk9QUBCaNGlizsjub7Rp00Y2Cw8g7Vwjti0ri/8/PJxXs6oQh1P2OluIqKQYi7+SCiuOU1xTSnG8opOBjbzqVGwPwZp6kWsUuTBF8xhIFTgCEVOm1Kudjx1TfpyM001xcTHaWtoz/YiysjJzbmoppKeno2/fvgGj7rVFg2WKANCvXz+kpaVJ7mcYBi1btpTNkepN2K5hbdu2RVlZGWprayWPEU/JJr5e//Of9TFmw4d7iOgGDJ2On+9Fizxkr5s1C/jmG2dqYNXD0qArAYOBzysrFzNohm1spGVCWglI5x2Xvx6W5S971iwX5lHMG3XyZMfZcq4VTJzI/33qKWXJygVION3U1taivLzcmim6kQTAXZSXlzt0JExLS0O/fv18RJEL8Leo6g5ee+01eu6552T7+CtWUSpmcOvWrVRYWOjwWNu4M8vxLJtlzJ2/tUL+bAxjHZfphNnNGsKBixe7rZPmWJaKFsfYDb9uHdGsWeKqTeF+WqlPpfTjDMMPJAQZWuCXRXqawCRSGPQuXwLL8tPg0jzqdLztzFLtpyQ2r7E3R7Gd0dHy8Y02KCgooO3bt0vPsQN7pKehJEbx2WefpbcU2Nz9BfibAHcQExNDEyZMkO2jxI7naUjEWJNeT5ScnKzI2UZsUV+3Tvw9Wr+eXxv9/b77si1fLu545IYZz3rybQaXtB06aLXgg+uJeKatxLFFq7VhikrsnRZfBUWLY8gI/gE0gqXpiHF5nhnGQ3MqxQj++U//P0y+bDffLG13nTvXer5sPypEkJ6eTgcOHJCfYyeSALiLlJQUWT8PIqKxY8fSDz/84COKnEejVp8CfBFLX9sUJWKsce4cr0J1ZFcUwjH69LFWV40ZI65affhhmBN7XwvQaHivdiLr7Q4D4JXmx/vxR7vBGUA2kF1qXxOYEPPGOcTHA888Y0+zGOy0XkqqNhDx2Rvi49Hu9ZnQgH8ANeCwArMQBuGanbsKIr4QtaupBc2QitsL0Fg1ryEpCVi2THyfZfziiBG8ytRBWIaVPVFqjn1YyqqsrMxhvVBVfepF5OXlEQAqKyuT7HPlyhXavHmzTz2d5CTF3NxcSkhIkDzWVu06b571l7qlavVa9DgV1MnCR3EY9DQOvJpQ1uFTTJ+t1/NS2KJF9fuciVGoaxxAZ595hlLff584WB9fCw2FQe/UsBoNUUZGnaSYkeHcjZY40Tgk0oIFx+jdd0tdmnfL1IKLFvHTptc7Ti1ohpQUs3r1talWbdHC+relmlOnI4qKkt5vgZ07d1JeXp78HPtIUuQ4juLj46m4uFiyjxCO4ciE5E/A3wS4A47jqHXr1nTs2DHJPoIaqqqqyoeUidsFiYjS0irogw/2UWamfZiIXGiFwByVquAaY1u61Hohng5rNeEMxIgzRbGJZRjPTSTLUk1GBh09epT2Pf0q1YK/8bXQuKy63Lmzlg8n2rHDbfpqoaHP5h6kmpoaB2EazjWxKZRUYet0ZJIaKDqaX7inTfP/Q+avJsyBLTO0bDbMraamhrSLFlHNwoX1+/xoU6ysrHQYAnf48GFq3769z2hyBfA3Ae4iKiqKfv/9d9k+O3bsoPz8fB9RVA9bu6D1VzVn91XtyHRkmQz8Wmw6XT1/C4OejCJS2aHlunoxRunEeqLVBfDl5+fTe8/sovGMIL0qjwEUmluSYl0TEhGYGJZy3v3cH1NhfgcSE4lSZy93fHPVwH/5tnSp1XpR+cgj1rZugQEqtEd6Gnl5ebRz507ZPr/++iuNGjXKRxS5hgZtUwSAAQMG4PTp07J92rRpg5KSEh9RVI/w8PoafLbFYDmOsUvYffiw/HiWycCvRZSX19trZ+MLaGxsYE1gwo3Pj7KPb+jb17WwCqWwCODr3Lkz3lp2G95OCMeLHxvwzTdHwLLyN2348HpbsWXCcgD1oSKWHRzE3xDLYv9nnyH7hx9gOn8O3d+bbd4nFY7pKbBsfSyjZRTJnV9MgUkuAiwpCbh82XuENQZY1nZLSUGzdeusg2uEhONCbUwfFzsuLi5GmzZtZPucOXMG/fv39xFFrqHBM8UbbrgBR44cke2jxLnF25BzvgF45vj6676nq6FA4Dt9+wLdGQNegX2yVwLAkEiZkO3bvUcYw9gF8DVt2hTjx/fFvHlRuPPOdpgxI72OOnEcPuzExw6R7NcTAbj82mu46cUXEREdjaY9e1rtF3ist74RiPjptv0I1KM7ZmIFjCJLDgG8U8mttzqo53GNY/PmeqebvXvFo0196FRji5KSEodJBA4fPowbb7zRNwS5Cn+Lqu7ir7/+orCwMNk++fn5DsV6b0PO+YaItxkq0aA0ZOcaS6cYZ45jWY5WrjSZ53LzPCd0gHPmeFfnvH69w/t+993OqVDdVp/efbfDOAqp8B5PNIYhmj1b+hlYiHlWdtfUSS8TEZHRaCTDxIkuh79cE23ECP4G6nTi8+Rjlakltm/fTgUFBZL7OY6jLl260L59+3xIlfOAvwlwFyUlJcQwTL0Hlgiqq6vdziPpDgS7yuLFlp6jJlq2rNq8X+m6vWgR0YIF/n83nW22TjFKHVAYhqNvvtFZx3bqRZJ3+8Pg6iAw0h2nqG+/PUsbN26kM99849oAttkMRJ5JX39gWebwDYOexkJLPdgc8xSmp6eTVqsl7vvvFQ/aKBjozTfbJwGXazodVVRUUPaECdbXP2UKHwPpB8YorLFyOU8NBgOxLCsbLRAIaPDq09atW6Nv3744LKNSCgoKQvPmzf2iQrW0q7z+OvDxx3xM1/r1KbjrLr4epHSOSnvs3cuP0ZAQBgNWwjp2biVm4YNZ8mnKwmDAWPoLPZsGIy0trT49Xng4GNuUbCtXAt99512DmSUc5D0T1IdK76slWJbQti1fGy+4UyeQK7pOIvsq0xawzWrnbbAsfz7hnBcQjn2acXhnZXeEhwM1NTVIS0vDwIEDUZipLC3j1etvxgkM8jLlPkBSkrJYVIv+eXl5yPm//wOj0/Ep9CZP5tWrr74KjBxZX8LKRyguLkaLFi1kc54ePnwYAwYMUFxP1l9o8EwRAIYPHy7LFAH/2BXtnWuAN9/kbWNDh7ZHXl4eAD5Hpe26xzDidp+4uIZXE7Ev0s0MUYAGJsy6/Rz0en7ttr3W6ViFbERAiwn4x3PD0HfPHvydkFAfJW5ZzT45GejVC5g0iQ9g9zZuu826xL0I9u93/T5xHIPHHuuJsi+OIPKf/+R9bF2BycTPjQSEKbztNteGdwYzZ/K3p1cvniSttn4KDQZg9eos1NZ2QVxcZwz/773yTjkDBwI6HU7N+gZDcMb7xPsCBQXK+7Zti7y8PHTt2rU+yH/LFus+gtONj6AkKfnhw4cxvCEkafa3qOoJfPrpp3TvvffK9jl79iylpKT4iCIeUu7vWi0fxBobG0srVhhFy0IJNRT9rdnxROPDJ6wvshYa2r++XvUohK8sWkTUg7XvzzEMcZYR5JaBm24E3rvcZFRUrqhNbfuLzZlL1+hAjSqXhtPTzfL2CbkT5s0jc9gKy3LmPtMRY7Y7cgCvXrQJMyh4+0v/P9zebGK1FevmI3vCBCotLeUnQiptnE0Ihzdx8OBBSktLk+1z99130+eff+4jilwH/E2AJ5CYmEjdu3eX7ZOfn087duzwEUU85JxrcnI4WrDguGQcG8s6Z2YI9Ga5yNVCQ88wEoH2RFSwzgfBdO42iQXHFVvdpEn2uWvHQWIOnnuOP8CZE8jYPgO5/KFgd9y//Jj4g6LTkQmNOHC3UyfJfRzAezPJJRj3YSabbdu2yTrZEBGFhobSnj17fEKTO4C/CfAEiouLCYDsTamtraVNmzZReXm5V2gQnGls1x6xBBNSFS8ae6t3rtDLCS8No2qyxILjSnC8RiMlKYos+GIVp5U0ierAvpQUXWkOk7xHR1sVffY7wf5o0dFEvXtbb+vd2/5Ge8kJp6ysjGJjY2Uz2Vy8eJEYhqmXbgMY8DcBnkL//v1p06ZNsn12795N2dnZLp9DivFJ5X+UkhQbYlYaV8MpLNvq1U6UIQrkfJgSqbN0OqK33/bc/f2z9wzPDMQwPGESC2IDnGr7iV+6lGj6dP8THEhNaeo3NxlmVlYW7d27V7bPn3/+SYMGDXJpfF8D/ibAU5g5cya98sorsn1Onz7tsNaXFJxlfAID9fd74YnmbDiFFAOVEFbs4ckEnZ5qr78umzrLHcYinkOUo18W/eT50BMZhr50KdFrr/l/qm3nRnHpqkDWBfujCc+r2D4P5ko9dOgQnTlzRrbPyy+/TM8//7zTY/sD8DcBnsKvv/5KN954o2wfV+2KrjA+QSJSJilyAastlHKSkZIYpRioU7UOvRlZ7kpzsDK7q4JcsMA+gfyKFXUJwVessM8s726gqoxEEIjfIw7yI3juRjSAVtGrl3I1sSABiu1TwjAVQKk9cejQobRe8Y30LxpFSAYAjB07FseOHZMNu2jfvj0qKytRUVHh1NhyKdrEckkKKclsY8GE0LbvvqvfxrKEhx7KwYEDvJu6Tsf/XbzYdyF3chALp2gCE/rAvnBhGAz4Ds/axCPORA/WIB3SJ1aMr6jIk5fgPl59VTIeEZAuY6cEo0YB//2vdYRJVhbw9NMEAKCnn7beMWMGf8CoUa6fVCYVWHg4f7mBBMvHQbZ244gRQHS0OVWcqa41aEyZAsydyzedDidfeQW1Q4da94mO5pvtthEjgFtvFR9XqNUoBidSxVVUVKCmpgbt2rWT7FNUVISTJ09i7Nixisf1K/zNlT2J/v37U2xsrGwfV+yKjlK0SZWJsjze1pYm5o5uqZJNTOQ/2Pg+/vs4dUZSfAjiEl76R+utL0yYiEWLzGIJx7JUtLhuAgJJUhSKNOr1VLAukZLW6e2ERncEFKmICaHkmWgWJnfrh9lKAjbXFmjSoiBg/LLgBE1gEsz1KRctEn+sdvz7D5qNJRQFHYVBT99gVsNzwomK4o3wFra+msces76OqCjreylVHUNKReoBSVGpPXHw4MGKx/Q34G8CPIlZs2bR3LlzZfu4ald0hfHZwvLllWK0ixdb2y6jo/2/QNmGU0xHjKjd8EEJpvgg1tOeaBuj7IMP2vUzApT41GqiIUP8c6G33MLnDRUmXLjRMTFkYupVws8wMXb3/7bbXD+tmGpZkim665k7aZLdgy12bZbPO8Pw03LLLf65LUOGEO0bM09ULf/gg9aP1Z4xr5kZhxEMTUeMdHhLIDdbb9IpU6RznSpxlHGWYSqEEnviSy+9RC+88IJT4/oT8DcBnsSvv/5KN9xwg2yf/Px82r59O3Ec5/T4ShifFGwddaQC8wPZtjgWWgqDXtJuGAa9XdyYEQxFQSceiC7SAuKLnmHqkwOI5FmthYZ6sHorTYG7Hy62TkiSTNFd760pU6weaLlrE7QZ/v4oU6qtcPb5C4hnzd02YoT1b1eKCrtYf1GpPfG6665zWPM2kAB/E+BJ5ObmEsuydPnyZck+RqOR4uLiqKSkxOPnlwrZEPu4Fw83c74gbSAtUBoN0Z7oesmjto5hSkmQAd0EtakEExoLraQzlStt8WLrZ0aSKS5e7P7J4uL4sRRcm78ZIiCdyGAstFabpJ6zh/Ab7Rkj7lbbkBijUw42lvBSjOKVK1coLi6OjEajZJ9Lly4RwzB+KfLuKgLAlcNz6Nq1K/r164c9e/ZI9tFoNOjUqZM576inYJn427K+LSDuqMNxwCuvWCZkJkC8QlpAQcrx5kH8jtUfGHDrDzOQ8N8DmIMlGI0DAIDf8Kg/SHUPHGf2pCIbjycjNMhk+6BPH+CLLzyTi/aNNyRzd9fDU0U3p07lH1AH1/b/7Z15eBRV9ve/1c0WQhJ2EggEAwmCG6saQAFFQBRcxgUVRcUBHXBgEBXxVX8qowI6jKOCLAFRRGAYBZokhBBCwppACERIQvakQxbCkn3rdJ33j051eqmqru70lqQ+z3MfSPetqlvVVffUOfcs1iSqdyQZCDLLhdoIJTIx1Ogzoafnixcu4YGTq3Fr1itm37n/E9eM2VjHjuXvaOgo8+qrugThDkgUXlJSgn79+kEpklU+Li4OI0aMQN++fe12XIfjaqlsbxYvXkxvvvmmaJ/c3FyKjY212zGFNEFOY1SphF/oEhLc421cauMzUXFvsFpGtwjKmeQaoSCtqwdsazP8AbdsIa3COEUdl7vTnr+docc6r6ZoTwckbiFT4Ny4+9pd7k2+dW0p92YjFDSQyad584jexPeuPxF7tW3bdI3vu48+0v2ADk7/FhMTY9Fp8Y033qAlS5bY5XjOAq4egL05fPgwDRgwQHTNsK6ujvbv30+1tbV2OabQMs/y5eIp3WJiWlOAP0sA2zTxCHdsTeYowcbnEqpW07U9MXRqT/Naor1/O8PDmglFeyxcmjZuIZPn3DgccVhbm+G6tlAfIeH5OjZbXNdm0Yru33XrxJMVzJun804V2raF1NTU0P79+6murk6wj1arJV9fX4qOjm7x8ZwJXD0Ae1NfX09eXl4WPUxjY2MpNzfXLscUeqMWS1PJKSJr1rj++ZLann66hB5iWo0Ut74pFEQbNlj0pDIMmbG3YxSnwBkJRUfkglUqdSfAtwjOc74bNriPcLTUTIWnYMURg8YCVH3bba4fvNQ2c6btsUB20BRzcnIsJveOj48nHx8flxV3t5U2taYI6AoKz5gxAyqVSrSfr6+v3dYVhQKeWVZ4vYkIKCoSWiIiu4zLniiVhMcfv4gNR3xFA6Ldb+QSYRhdpoU33xQN1DdcO77vPuDpp+2bZIFLCmEE36J0S1AogKee0p0A3yK4Cf7+usuyeTN/jU934yr8EYvJuArd78i3Ds5BACIwDfs/Wg9m+3YnjlI6vM9UeDhw+bL1Oxs3TtdaiL6eowgqlQqPPvooOnbs2OLjOZM2JxQBYNasWThw4IBoH19fX5SWlkKrtU/OiyVL+AsFC02YRMDXX+v+Nce9Zh6lEvjly6uYTGpUVqZDIZDyhKAbeasUjOvXixYNBsyLRhMBe/fqCkcHB9tnGFw2JCP40ibZSnCwbsB79zbffCyrq/RswdNn/nzghx/sMwxnkoGhZo46WijwCT7BvUjALy9shdekh3Cm8QHcfMYJRaqtRHA2+Ogj63dmhx+wsbERpaWlFoXigQMHMHv27BYfz+m4WlV1BNevXyelUklqEbMQy7J0+PBhKioqsssx+UyoDKPzoOeCoE0bnzmKYVhiGNtDM/hKENla3YLb9sLc5owCLMNQ5XPPud58ZM8mMeu00BqivcyKhkkheNcUhW4kezUJGdvdyfnGmibsqMPSI4/kG2SWIto/YbXrB2zQbFrnfOwx/s/tYDq9evUqRUVFifbJzc2lDh06iIbHuSttUlPs1asXxo8fj4MHDwr2YRgG/fv3x9WrV+1yTD73dSKd1/Tp08Djj5tvY9ofAJYtIyxdmgKI6FsMA+z+pgAPMTEYAOO3e8N9vo5Q5CEAMXgIeQjA6xA2kZliuO3dO97Vq0cMETz37JG8n1bBmjWiJlOOoCD+z/l+R2v55JPm1Ka8cMlRP/645QcTwkxFNcffX3e5WhMDUIBsBCIEpzEZMRiMXGwFd6EZREX5g2V1+hjLAn87+YKZZukICMCN59+y2AevvCIcfmFKnz7Atm06szgfVuQ1FaKwsBD9+/cX7aNSqfDAAw+I5kR1W1wtlR3F2rVraebMmaJ9ysrKSKVSiRbHlIqUtG2WGudkEReXLaotvo4tRmEPQu7pps4FOvd0cY1xANS0EOup0Q3ekB395s0qFM0JNJsoTFDT+W+OUmGCueaoVjtuWKYv8ILB+46qBCGgLQtdj9WrWb125c5JJ6wte2a4HadZamFZW2MBWo8FpGk6lpT+WzGPHmKiLd+rXOyWNSfuIE2xoaGBDhw4YDH5ybRp02idHbxcXQFcPQBHceXKFercuTNVVFQI9mFZlqKjoyk/P98uxzTNj7pmjbhAZBj+fKqRkQ2C20hNeSWUBSR+0nK9+Yszj/o3bfsGs8UszquttpQFCyhx/36qqanR/35x84wn0Lh5xmEZjgyfmTvX2BHUTChyLq8vveS4QZiYT4WuR01NDZ06dYp++SWG/u//yl39Uwo2a8ue8W3PebEux2p9KBJf6IYqcLF+myX4l6QBaqCUlgKREy7WFu2cOdP4b1tSwJmQl5dHR48eFe1TVlZGHTt2pMzMzBYfzxXA1QNwJPfccw9t375dtM+VK1fo1KlTdjumYX5UsUmUE5q7d+uCtg2943VaJ//bt9SUV7oJwVzAaZtyQa6BcYLlC3PXEtsaF4tsaUol1Wdl0blz5ygsLIzy8vLoanw+7wRqqCE5I3yGK2BtJBTFgl3t2Qy05sIEfoGSuD+BDh48SImJiVRfX++QaBF7NanPitQ2kMmn/RNX8woxLvn4AKjpWeyWnLRiNZbTVswT1ywNk35v20b0j38QLVliLvRMG5fP1Ia8pkKcPHmSMjIyRPuEhobSmDFj7HI8VwBXD8CRrFmzhh555BHRPtXV1XYN5DfE0oTBySDDyuvcpPjiiw3EZ5ay5u13PRbwHpjPNMoybjqzOaIZTv6FhRQREUF//H0rb9+kdTH639JZ7wxKJdHv/8mhsOWrqeHkSedJHQMT6vlv+AXKzgXrzZzT3DXWtqWaIl97CMLmzkYo9C+iUp1jGpu2M/yMNfx3yBDrNUSu2TnXKRewb2hd4WPKlCn0r3/9y67HdiZw9QAciVqtpg4dOlBhYaFov+PHj9uk6gslADfEFqdBsaB/QNiTbvJk436tMhG3M5qJmbC+vp6O/nxYVFN0ZolHw3Uwp5uzm3LNCWmKuSeyzO5xd87KJCU9nDVNSiIAwebj47wTFzOV2pggPCMjg06cOCHaR+qc687A1QNwNFLeWnJycujYsWNW7de0FBRfoVgOtZroX9KWGax6OA2zdgxk1PTbU7vpGezWfzYWCdJzj7Y10+kzzxB9+KH553zFC5s48sJ6own02Mub9N+tX++cYfNNuk5NPbZhAxERaTQaUj35jdH1MF1jNby/+V7iPvyQ6C9/cf2tICU9nDXNUNBKbSxAl4Y96fjf8sknxYVdC+onxsTEWMwCJsU65+7A1QNwNFLs2/X19XTgwAGqrKyUtE8hT1O+udaWlGDWyqc3mC3EGmgUWjC0FfP0k6uROcYeB2wNTaXSvamYfm5hEihMUNPxz1V08Mf9FBERQdnZ2aTVah2uKXL3hmBBXEP7ugMHot21i7KysigiIoLi4uIo5fCflLQuhtcb1xA+C9+WLcLJ8FtzYxidoA3HdKNny9ILaCMU9BlWOjZ38LZtwlpgCxKEV1RU0IEDByymbJPix+HuwNUDcDRlZWXUuXNni9WhExIS6PLly5L2KWQuMo19NtUm580zrmbOtw/+OY+ld96ppQ0bzL8bALW+fqHYw8X3sGmgoIq5C9umUNyzh/+8RDRFQ1iWpcLCQjpy5AhFRETQnj055MjQgw8/1ClpQg5SpFDozolP+7VTYwE6+e9/U3R0NBUWFkouxC2kKSoUzjU7O6spFETvP5VqZtqWYpVpBEPfYhHv81j39NN0ffhw2wXjkCHGf5u+AAolEJcQOnHp0iU6e/asaJ/k5GTy8PAQ9fhvDbTJ4H1DfHx8MGvWLPz666+i/QICApCXlwdWQo5Jvqxbpum5TFOCsSywY4cukD8mRjjbEn/MLYPAwGwMG8YzFmRAQeZjNk0NxZcq6gXsQmLg87pHoy2hVDY/8qbwJhc1h2EY+Pn54aGHHkJKSgjmzAmAI9PvffUV0LOnLm/nNxBIpAsAX37psDEwAEKWLcOU7Gz4+fmBkZjoVCg1K8uKpzpsrbAs8DKzEwqTBBsKQCDDajNKEBZhA++dVOjvj4bHH+e/y7p359/hCy8A69bpAvazsoy/274dOHu2+e8HHuDfx4QJomPWarXIz8/H4MGDRfv9+uuveOKJJ+Dl5SXaz91pY7crP3PnzsWvv/4KEpn8+/Tpg44dO6KoqMji/vz9dbmjudqaSiWwcaNxUhS+iUKrBaqrgcmTgV69+PcdHW3+mUJB8PQsQq9eN80mmCzGvAArH6Zn3gglTiMEp/7s1jqyPFsDywJ5efznxZtcVJirVxm8+66PPuOJo9BqmwXIf7DE/DflBL09E4PzwLAsmDfflFDxuBmh1KwKhS4JT1t752IYoHfiId7vNmIhGiFcdBcAlGDNnkcCcHXwYPR64gn+jcrK+D/39QWWLgVu3uT/3jCDzbhxwLx5xt/Pm2cxQXhhYSE6deqEXkKTFgCWZbFz507MnTtXdF+tAlerqs6gvr6eevXqZTHoND093aJ3lSGGMYl834mtO1rj4r98OVFaWhrFxsbS5s2sUcD/2rWWg+5N1xQboaB3sLbJy7ENmk45G9fatcYX2ZJHFA/OMv9xpcQ4b2UjZw4us4MzgwINKx5LwDSUksv72xYt82IxwAOgpgHIp/VYKGgG1YIxyjjDAlQ0fTpduXJFdzGF6iDyNW490Jr1QitjF+Pi4ix650dFRVGfPn1aXZkoPuDqATiL5cuX0/PPPy/ap66uTlIKI6mYZrgxnY9N1xz5MuAoFERJKjU1RkXR0Z9/psLCQjNhvHONwDoUT2sWjNLWQFp1W75cd5H27NE1CWuJQr+PM4erVhNFRWlo55pfSBMV1fzh8uXOG4wNLxCml9qZw3VmE3KGWo3lBIisC0O3jn/jmb/qLliTcCo5eJAiIiIoJ0dDR48SFX/zC/+BLWWoaYFnqRBcKsz6+nrRfn/5y1/o/fffb/Hx3AG4egDOIj09nTp16kQlJSWi/RITE+nChQt2O66YNsn3vWlco2HMGsswlL5ggbkDhDsHirmySXSq4ftNdu92TaYWl2a04bt+u3fbfA3dNdNNSxt/UgCFPuRD0IMYoGewx8ghT6vV0pEjR+iDD24Qwxg/70aNE3CWtDw7Z7BJSkqi8+fPi/YpLCykTp06UVaWeQxrawSuHoAzefjhh+mrr74S7XPr1i1SqVS8ZgApwfpCWLNtQkKz2zdfzFru4g/Ndm6aos1iGEZ7aRLKIRniKvlj2BQKluLismnfvn2UHRenT/7uwgFZrTW29fc0saQAQpqiBkoayOQbzQE5OTn0wZMRNBnRwnlQt22zfMFtDMgX27a+vp5UKhWVlZWJbr5q1SqaNm2a9cd1U+DqATiT//73v3TbbbdRY2OjaL/Y2FgzG7o1wfqmWLstN6EIvXE2QkG/rs4zPgBjGKfYbBpt8yZSsWalpuhO2s3nn6fRvn376Mrnn7t+MHa6lm1tfVEsKcDr2GQkGLkKHQzT/PxrNBq6PHGW5exFlkImWmI2Fdk2IyOD4uLiRDfXaDQ0aNAg+t///if9mG4OXD0AZ9LQ0EADBgwglUol2k+tVtOOHcfoyBGtQYJu2+YIvm25+C0xk6pCIb42MRlHddvzHKBdaodchnWxRVwLuJN2wzAs7ZjysXslabdB67amakxbawOgpmewxyjLFHct1GqivL17JcUTi5pKlyzhP7gUjVHEOUd75gylLlhAJQcPiu7ijz/+oIEDB9ql/J67AFcPwNl8/vnnFlX9TZu0RpW4hRwGpMwRYhOtmNbITSjvYI3Zg8IlNf7llzrbZ3J3mmxtbdwMaygALS3iiuBOmmKLcmw66lrbeE2F1szd5Vq3pPE9RlxJNrG0cuHhNZQ5ezbvl0a/u5DWZylJuJRahkLB/OPGGS+/iGieDz30EH3xxRfW3RRuDlw9AGdTXFxMnTt3prS0NN7vhTQ7e2qKUvejVhOlLjcOtzAslPrZZ6nE5ufbJuBau1BUqVokAIVYu5b/Ug0d6tzTE3PWcGgTOtG1a+12jQ1/ttaeBs70MZJS1FihYOn33xOo+MUXeXe6AD/Qwee2i2uIlgbWAk1RqrZ6+fJl6ty5M127dq1lN4SbAVcPwBXMnTuXFi1axPudkOK1fLntljlLrumCGiePROW83BiGpR07jlFOTg5v7Z42b0K10pRnDYZmPsOyXs5sLtUUTWuZGZTasjfuZLJ2xG/GV6pqxYrrFBkZqSsLZrKTxqZYR9GXbiENj2tjx0r/AUw1TqEYSR7Nc+HChTTPDmEf7gZcPQBXkJSURB4eHrzhGfzrh6x+bdEWxUQsUF/05heYMf6Bf9HONWoqKSmhgwcPUnV1tVmktBYMhWO63kPOrUxx9mh2rhXH/U6ch3BCAtHHH7vOxKdUNq0pWlt3zF5NodBdgISElrldW0CK0tNamqWixgxDtGpVHalUKr12deOZv+qd4TQmmqXge5+li2bts2EQxsHGx0vSFIuKiqhLly6UnJxs9W/u7sDVA3AVjz76KK1cuZL3O+N1Dy2tW9fyBLd8dRUtapxiTjRNi52XDh2ihN9/J3bXLjPJq4GSZkJFS/Avehwq17v227PZWVM09BB2tWV53Tqi7OymOMXsbPvXHbO2mVbAtiNtSVMcxOQLrv/rLh9L//d/KRQZeVmf3IBzqJtksgZpcXlGaE2xhZpbSUkJqR9+2Pg8ePb53nvv0eOPP96iY7krDBGRq1PNuYLjx49j1qxZyM/Ph7e3t9n3BQW6vNFEGejcuRTjx48330lBgS7JaVCQceJTAbh9enrqcqAOHSphs9BQYOFCXXJMHggAGEa36siDFgyUILBgzBIYt1qUSl1STQnXXAoFBUBAgMPTikqCYYD8fKBfPw3Cw8Mxc+ZMdCwpAQYOdPXQdLTha28P5mMzfsRb6AAtGqHEQmzEVsw36sMwBCLhXLpcLuX58wW76Dh7VpfbtHt3XW7UCRMs5jEFxKetkydPonfv3hhWUaHbN88+y8rKMGjQIBw6dIh/XmztuFoqu5IJEyZYDOavq9OZO27evGn8RUsCF02xZJ6ysUpxm1hXVCiIxo+369uwKe6krXDLd0YZbYh4141d1uyspZsqPePHt27P1Ob4xXyrt123TnwaaKkVW2zaunHjhqSUbqtWraIHH3zQ9kG4OXD1AFzJwYMHqW/fvlRTUyPa79KlS3Ty5MnmD1oSuGiKVOHqTvECzmrTpzen9zH8nGHsur7lDpeWS6DNYSYUidwjw7at97nItef7eRMSdD+/q29Bd7m09ngHF5u2WJalEydOWKwpW11dTb1796aIiAjrB9BKaBelo4SYOXMmfH19sW3bNtF+QUFBKCsrQ2lpqe4DobpQEur0GVFQAPz1r8ZFFxcu5C/b4+8PrF5tsTgdWTcC9+bIEeDcOd3zawiRrjClneBKgbmigtYAFOCd0THY/0MB5syx0HnOHNz4YRdujJ7qlLGZwTDmNdJayKlT/D9vYiIQFWW3w7gB4k+mQqGrqcl3aflqsy5YYFV1LwDi01ZpaSnKy8sRFBQkuo/Q0FAMHDgQ06dPt+7grYh2LRQZhsGKFSuwdu1aNDY2Cvbr1KkThg4dipSUFBCRtCrDUvj2W/MZQUi4hoYC773XfFdzMzjD6P9PCoUDy+C6AK0WKC52yqGmT3e+UHwdochDAL4+/xBm/i0Anw4KRWioQOfQULCDAtDrb8+jx/kjTh2nHoVCd6GcQFFR21ln1MHopwyDR1b/L8vqHm++359PmLGsbvqwBqFpa8gQQkpKCoKDg9GxY0fB7TUaDb7++mt88MEHkgtQt0pcraq6Go1GQ4GBgbR9+3aL/Q4dOkRXr17VfWCpLpQlhGx2fJlDhGI6uM8YRufKlpDQtjxMlUp+86mN2VXEcPa6olBM2yCFmtRqE/OpWu0+v6ud1xP5bm2FQvezc1ml2kLjbuXly40fW9N+fCsDQo+/LZZsvmlLrVbToUOHLOaE3rZtGwUHB1vs19qBqwfgDmzdupUCAwMtLjDn5ORQVFQUabVa3QctyagiNAtPn27eV0ql26YnRLNxo/tMoFIaw/C+HLAAlbzyCmnz8lr+AiIBZ68risW0xcSYCEV38QSy83oih+nPu2mTliIjL9PTT2cRYC4YFQrXL61Ka2zTObFW1Yjmq+8stL5qyzuK4bSl1WopKiqKcnNzRbepq6ujgIAA+vnnn60/YCujXZtPOV555RV06dIFmzZtEu03aNAgAEB+fr7uA39/YPJk29ZYgoL47XVHjli/WADoza4dFixA+cWLuGzRn9sNUCqBzZt1C3pKpe4zhQKYNAlgGPT9+Wcwt92Guro6XRhATIxuLTEw0LZrJAK3rsgNw9FkIAhak9WLRiiRzQw1t8IHBYFcba7i4gTsuJ4I6H7GwEDdzxoTA1y+XI3MzEw8+uhw/P57IBiGwaRJzWY/pVL3O23e7LzfynYYfPFFLXJzGcyfz28GlUJBAf/6qkJh/YoNYDxt5eXlgWEYDLQQ8vPjjz/C29sbL774ovUHbG24Wiq7C/v27aO+fftSZWWlaL+CggI6dOiQfbLCS800LpYSR+At/mp8vHtVWDBtpr7n3Ourzm5m1FerUFDO8ePEbt5svzAYAaQo5fZqfDX55s7VjcPM+/Sll1z7e/GpLy3E2KOSpS++KKFt26LMzKac6dHUKGNjpJLTGpcJy3C8ljRFvpUBsdSTLUGj0VBERETzkpAA5eXl1Lt3bzpooWJGWwGuHoC7wLIshYSE0Keffmqx37FjxwQTiluFNaEdYtVvOQFhGMikVtO1V1+VFqvobOHJLRrxITADXPjwQ3OzsAPMec5OO8ZXk2/LFhOhuGWL62d4O6fV40+8z9LmzeW8hxcyE/ItOTu6STseS8uX6x9F/WMpFm4qtDJgzwgwQ1JTUyk2NpZYlhXt9/HHH9PEiRMt9msrwNUDcCdiY2PJy8vLYtZ3Lsi1urqa93urgmyF1sv4drJgAf/TtGePeZ6ypieXhYUgfoWCaP16q2YFuyQFENL0BGaAxp07+fdjJ8cPw7RbzpxghSZHozRv7jAoroaanV5ChLSfPXvs857oyLZhg6XjssStJ5rmVhcrDmCYd9308bdpWT0hQZc8nOeFpqqqij8piQnFxcXUrVs34zjtNg5cPQB3Y+bMmbR06VKL/c6fP0/x8fFmn9sUZMtXdM50J0ImVE6otWR22LBBcl9WqaTyBx+0LBjXrLE8a4nNduYucuZ5YO2kKW7Z4n6OG1FRGtq3bx9pDh92/WAMm2Hp+BaQllbFayZVq6UJAEumSO6xsZwIiKWZM1mzvMRizcp3SLNxWSoOIDSHWOXXZ5omyCQL1JkzZygpKcnibhYvXkyzZ8+WcMC2A1w9AHfj4sWL1KVLF0neWGFhYVRcXKz/zC5mDqGdCC12tXQ2F9u3SWOXLqW8r7+mpA8+4O/zzDNES5cav5la2reQpsc3AxjMlqxCQRfefpuysrJsNuuo1brhuYMixrWxSKBl+IYK/jhJ+/bto7N/ZBvV03SLxt0zNryQsCxLmZmZpFKp6P/+T01KJavfpaHwsyQALDnkGi6BJiTobsu//IW/7zff5NOuXSwtXSrt9Pm0WXs1azRlQYTWAJqey6KiIgoLC6O6ujrR3WRlZVGXLl3o0qVLVhy89QNXD8AdmTt3Ls3lPB5EyMrKoqioKH3cjtCDapWFzxq7kj0mNyt8xfXVuPledw1DK0xfb4X2bYumZzBbXrt2jQ4fPkxHjx6loqIiycKRM5W6m3a4FfOMKp5H9PsLASyth4DZ3NWNi4+V8BuyLEtFRUUUHR1NUVFRVFpaavpzWn0bSLmtTLUu89uWJYbhNFbLcZF82qyU7aQ0sfdTq+YQoXqL69ZRY2MjHT58WFeH1QIvvPACvfrqq9b9MG0AuHoA7kheXh517drVoh2dZVmKiYmhK1euEJGDNUXuSZQykxsuZAhVyTV0djHdL8PotD4xm5KpEDQ9hunMZHXdLGk0NjZSZmYmhYeH0/Hjx+nGjRtml9N0bcadNEOujUWCmUmaBWgsEugZONEl1pZm+hJkshZ+/fp1iouLo/DwcMrKyrJb8Lel24rfmUf8tjXd1zPPmD8a3P51Tj7mAlHK48e3jdD7qT01xbS0NIqJibH4AhkbG0uenp6kdkBcqrsDVw/AXVm1ahWNHDnSYuiFqdONXeLMxZxvpMzoDKNb+Nizp9lGyNePe0UXysj80Ufix1m4ULcPof0b2rAMQy5sTXggQkNDA6WmppJKpaIzZ85QeXm5mZawZo17CkSAaCn43+6XYB0NgNr9TKimTak0vsAKBdV89x2dOXOGVCoVpaamGic3txNit5XYbRkTI+y3xjWuxrLp51zYRFRUo+D+1Wrdv1LXH4XeIW2eQ3jWFKU61zQ0NNCdd95psYJQWwWuHoC7UldXR0OHDqXvvvvOYt/z58/TmTNn9H+3JNGN6E6szWxi6KRj6qSiUBCbn29xzc+i5yrnc84nbQxffx1Uud2U2tpaunjxIm3detjMkUNMILralCqmKQJEn2Gl+5cCM7mIWoWCUg4ftrh2ZS8MbzMhowonfCyH/oqbRHfvZkmlShJ1FrL2BczQRGqXOSQhQRcPnJBALMtKdq5Zt24dDRs2zGKGr7YKXD0AdyYiIoJ8fHyopKREtF9dXR2Fh4dTQUGBYwckZA8Se9I4M6mhk4pSSWlvvEHZoaHErlrVsomQe5L5bFncROnggHs+wsJqBC8H32eujo0HhNcUX8cWszypLmsvvSR8ES3N9A7E0tohYKx1tTRz3ttvF9KaNWfpiy8azLQ6nvwTvI+F6dgc+c6oVqspIiLCoqArLCwkb29vioqKctxg3By4egDuzlNPPSVpsbmgoIDCw8P534rtqSmZ2lbEAp8Mn0BOY4uJIVqzRh8I32LtwxpPU2c8/U0IBYe/+mqd0eWbPt31WqJhG4sE+gezztj7lHETgWh4P02fbuQJXPL00+YZlFz4W/M1U4/Ull0Gtume0lmNOa1O6rL/8uX2T+crNM3U1tZSWFiYxcw1RDonw2effbblg2nFwNUDcHdyc3MlOd0QESUkJFB8fLzxIra1gYuWBKjhU8cw0hfKDO1GpqZUk75WCUpOE7AmvsGJ2gM38SgUzV6GDMPSm29W0pkzWrcSiIZt586mOMVff3X9YHgaq1BQsUpF+XPmNGu3hlYBByVu50OK1mcaRWKdpmhqSuU3mUoVztzyq+FjLFZbXMr7tNA0w5lNz549a/E6cs41+fn5Vlz9tgdcPYDWAOd0Y8lrjjOj6j22rHUlsyRAhcynH35oOPsLv6rGxAjOBtxbPqtQUMHUqdIqbfAtoBhOjPaqd9MCOIcH8/JELC1a9KerZYtZGwA1TcZR8kc+/TZmGbFu7GBz+e23ze8ThaLZ08SJv7HQkrbpIyGyzM7bGIalJ564pY+n5PM2tfBokem7wocfSjOfSn2fFptm8vPzJZlNNRoN3XXXXe3WucYQuHoArQHO6ebf//63xb5Xr16l8PBwqs3IEI4X4tOUpAhQoafO1IbDlxCSy6q8e7fZd6xSScf/9S9K/s9/KOaXX3RJ0blgPkMbz7x5kjLNkEIhnAvLMJeVkxC6bMuWVbpEnnCCzzDfKUBGa4daMG7vWMMKeSc7yRJgCF/mGqVSdxsKCSDTlQjT23v5cqLU1EqKiIig339PoC+/PE3R0RW8t3tCgvCjwH3XtHIhafnVmvdpoft79eoG2r49mgoLCy1ev6+//rpdO9cYAlcPoLUQExNDnp6elJGRYbFvNl/yalvvbEtPiunTx8H3xPPkRiWlktjNm+ncuXO0b98+SklJMR6XqRuc6d9C4xYqX+CCCVNoglGpnC9LDAVfIxT0OrYQwF902O2bSuWYTNU2YOttaOn2JiK6dOkS7du3jxITE4llWV6fMk6TEwunEHPAkfr+K/V9unnNk7VoxU5LS6OuXbtSXFyc9Re+DQJXD6A1sWjRInrggQeaiwzzoRapki62ziL11VDM19t0ccIwiItv3xs2ELtrF6UdOUKHDh2igoICCgsLo+y4OOmOQULjFjqmi4KB+SYrZ9fu5RN8Gij1mqOlHbid5hgT45QC0FJwxG2oVhNt355P27dHU0FBAUVERNDly5cpP5+l9euFNVA+wSrmgCN1pcTSyotQrg2x7RobGykkJISWLFki5TK3C2ShaAWVlZUUGBgobkYVmmlN6wfyIXWCseaVU2RMeg9UhqHa778nIqLq//zHaH1R0iQnNG43mTA5+LQCZwbzCwk+rnRUq9IUDe8zuwTVtRx73oabN7P6GERO26qoqKClS5PNYhNN3xNMscbAI+V8hFCrrTfQfP311zR06FDBij/tEVkoWsmxY8fI09OT0tPT+TvweXdaoyFJnWDENEa+IsUWPE6FXqslj11o3G4yYQoh9oZt7yamKQLGRYfdurnBC44Q9rgN8/NZM8HX/HgIC0RrV0akOqNb8/jk5jYKJhQwhTObnjhxQtrO2wmyULSBt99+myZOnChsRjWp5lBgoXCxzQg51PA9ASZj4n1KBV4z2aNHHTN+N4HzUHWGPDEUfBoo9WuKhoJzNZZTo6sFH19jGKd7ljoblmVp8+ZMax4Pi+8JYg449iY5OZmWL08VrD7CwZlN//GPf9h/EK0cWSjaQFVVFQ0ZMoTWrVsn3KnpFa8qLY0OHjxIRUVFjhmMmI3FNMhJrSb26FHK/O03/kBrPk1RoaDzBw44JG+lO+HM9cUBUOtNpvx9WFowM4O2P/5Puj7zWfdaS3SBo5SzaGhooDNnztDOnXEimqKpcGNp927W6D2BL7bQGSsJhYWFdPDgQaqqqrKoYa5du5aCgoJksykPslC0ES7QlauQIYZaraawsDCqqalxzGCEVvZNgpxYlqVLly7RoUOHdGuIEhZgND/+SCdOnKDo6GiqqqpyzPidDN+kxad0u66xtHRpMu3bt4/+XLrUfYQilyhe7EK2Uqqqqig6OppOnjxJ9fX1Etcndb/T5cuX9Qk7xGILHbmSUF1dTWFhYZJSTaampspmUxEYIiLI2MSyZcsQFxeHkydPonPnzqJ9k5KSUFVVhQkTJkChUDh2YAUFQEAAwLL6j0ipRHpkJHIbGzFhwgR069ZN1y8zExg6FPD3N97e4HOWZXH58mUUFBRg3Lhx6N27t2PH70BCQ4EFC3SXRqEANm3Sfc595i4olYRfvvwVc1bMA+NOA+O7aNxn8+e7dmw2UlpairNnz2LQoEEYMWKE/vmU8nj4+FTi5MmTGDRoELy8hmPwYMboPlIqgdxc4+3tDcuyOHHiBLy9vTFy5EjRvnV1dQgJCcHUqVOxdu1axw2qNeNqqdyaqauro9GjR0tyZ9ZoNBQdHU2XL192/MAEbIHxq1frAvOlwKMF5ObmkkqlouzsbAcN3LHYkk/dle3n1751/SCENEYX5Tm1JyzLUlZWFqlUKsrNzTX6zholuKKigiIiImjr1hzey+Voi/OlS5coOjpaUp3KRYsW0b333isH6YvgYJWlbdO5c2fs3r0b27Ztw4EDB0T7dujQAWPHjkVOTg4KCwsdO7CgIN3buwGkUOCOJ57QaYiWCA3VaZoPPaT7NzQUABAQEICQkBCkpaXh4sWLYN1Jg5FARoa5Nuiup6BUErz8dL+b28HN94ZotTr1qZXAsiwuXryI9PR0jB8/HgEBAfrvBG5/Qby8vDBhwgR06JADhcL4uiiVOo3SUVy9ehW5ubkYN24clEqlaN/ff/8dO3bswK5du9CpUyfHDaq142qp3Bb47bffqEePHpSXl2exb2FhIalUKiorK7P/QAxfb7ds0YVTQOcsw8UhStqHhajh6upqiomJoePHjzutVp49cHZcYkvafGx2v+oYYq0VaYp1dXUUFxdHMTExZuv81gbNG2Iax2iYCdERS6+3bt0ilUolyYkvOzubunfvTv/973/tO4g2iBu+hrY+5syZg2effRYvvPACNBqNaF8/Pz8EBwcjPj4e9fX19huEyestESE9MhIJq1ejJiUFXRYtkrYfPnXKRAvo2rUrJk6ciM6dOyMuLg7l5eX2Ow8H4u+vW/pyR+XLkAEowEYshILcVI01RaEANm507MKZnSgvL0dsbCw8PDwwceJEeHh4GH0v4fYXxMvLC599Nhg//XQM27blIidHpzVao3VKpa6uDvHx8Rg2bBh8fX1F+zY0NGDOnDl48cUX8cwzz9hnAG0Y2dHGTtTW1uLee+/F448/ji+//FK0LxEhMTERtbW19nG84XOsUSgQu307xj75pDSTqci+hLwFiAjp6enIzMzE6NGj4efn17LzcCAFBboJLygIKCoC7r/ffU2nkxGDGDzk6mFIQ6EAzpwB/PyaL7CbCsfCwkKcP38ewcHBCAoKAsMwZn2suP0FqazUOd906hSIRx4JAss2H8cejjdarRanTp1C165dMXr0aN7zMOTdd99FVFQUzpw5gy5duth+4HaCm78ztx48PDywZ88efP/994iMjBTtyzAMRo4cCa1Wi+TkZLT4vYTn9ZZhWdzXq5d1AhFoVqe49QmlUlALYBgGw4YNw6hRo5CYmIjU1FS3XGc0XSNKTjY+RYUCsDCvOJUMBEHrro8mwzSr2kql7kImJztGHbITLMsiJSUFSUlJGDNmDIKDgwUFiRW3vyDcGuPZs2VGAhFo+dIrESE5ORksy2LkyJEWBWJYWBg2btyIPXv2yAJRIrKmaGe2b9+O5cuX4+zZsxg8eLBo39raWsTGxiI4OBiBgYG2H1QgBINpySupkD+6ABUVFUhMTAQAjB49Gj4+PrYd186IvfkDzacIAAcPAm+95fQh8vI6QrEZb7iXaNywAXj8cd3/DS9cS1UrB1JWVoakpCQwDIPRo0fD29tb0nZW3v68pKVVYcQITxDZT1PMyspCRkYGJk2aZGb6NSU7Oxvjxo3Dt99+i7lz59p2wPaIy1Yz2zCLFy+mu+++W1L4w40bN0ilUlFJSUmLjslu3tyc4NtFuSm1Wi2lpKSQSqWi1NRU8WoiTkCttq6k5e7drvdX4ZouT6rbZBPQtT17zC+aWM0mFzreaLVaSk1Ndfm9+P33tQaON5bLOIlRXFxMKpWKbt68abFvRUUF3XHHHbR06VLbD9hOkTVFB6DRaDBjxgz4+Phg7969FtcMCwoKcPHiRYwfPx49evSw+nhEhJSUFJQmJeG+Xr3gcdddLn1LN3w7HzVqlEu0RsMgfVO4ZbBx44zXGk+dAp5/3ulD5cUt1xX37AFCQozXDs+eFV6gdVFQf3l5Oc6fPw/APawWaWlVOHAgBWPHdseUKfxrmZa4efMmTp06hVGjRmHAgAGifVmWxVNPPYXa2lqEh4ejQ4cOtg69feJiodxmuX79OgUGBtLHH38sqX9mZiaFh4dTRUWFVccxTN0mOTDfCRhqjWlpaU59U5cSeqFQGNddViiI1q51vTLm1pri2rXGF8zwAgo1J4ZquIt2yAcX4G+YEs6abcPCwiQnzVi5ciUNHTpUkkYpY44sFB3IpUuXyMvLi/bwmZ14uHz5MkVGRkrOkequAtGQW7duUXR0NMXExDgmNpMHW5N7K5VEr77qetkD6KppaN1JKL76qmUBKJQ81glJxMvKyujo0aN09OhRunXrlsOPZwu2CMaamhqKjIyklJQUSf137txJPj4+kvvLmCObTx2MSqXCiy++iLi4OIwaNUq0LxHhwoULKCsrw8SJE9GxY0fRvikpKSgoKGjOZeqmaLVapKenIysrC0FBQQgKCnJo/lc+5xqFwn1DMEwZgALkIQBKtJIBG2J6oR3sdMOyrD4saOjQoQgODnZ8buEWwIVrDBo0CMOHDxc1pTY0NODEiRPo2bMn7rnnHotm18TEREyaNAl79uzBzJkz7T30doP73j1thFmzZmHlypV44oknUFJSItqXYRjcc8898PDwQHx8PLRaLW+/1iQQAUCpVGL48OGYMGECrl69iri4OFRUVDjseHxu9atXu3/QPkcQMlqnQOQudEviGaygvLwccXFxKCoqwsSJE3H77be7tUAEmsM18vPzkZqaCiGdpLGxEfHx8fD09MTdd99tUSAWFxfjiSeewCeffCILxBYia4pOgIjw0ksvITs7G9HR0fD09BTt39jYiNOnT6NTp04YN26c0YPe2gSiKVqtFleuXEF2djYGDRqEYcOGWawwYiuGbvWRkcBf/6qz5wE6Afnyy8COHbrYMXfSJAegAPkYBAXc8NHkLpRSCcydC/zyS/OFYxhg82Zg+vSWxzOIUFdXh/T0dOTn52PIkCEYNmyY2wtDU8Q0RpZlcfbsWWg0GoSEhFjMaVpVVYUpU6bg9ttvx88//2yTI49MM7JQdBJ1dXV49NFH4eHhgf3794uaRoFm04m3tzdGjx4NhULR6gWiIRUVFUhNTUVpaSmGDh2KIUOGWLwmtiJkTs3L0/0/MxPw9ATuu69ZaDqLAShAEDKQgSAoFcB97Cn0xA2sx9+MzDgsAEahBMNqQQBcMu1xbrvV1c0xioMGGV80B5pLNRoNMjMzkZWVhT59+mD48OGS4w7dET7ByLIsEhMTUVVVZXEJBdDNE7NmzYJWq0VYWJjDXjDbE63r9aoV06VLF+zbtw+FhYWYP3++xcwvnTp1woQJE1BRUYGkpCR9Vo62IBABwNvbG/fddx9CQkJQWlqKI0eOICsrS9Bk3BKEqmNkZurm7qFDddEGpjz3nN2HYsTrCEUeAhCDh5CPQchlB2EPnsePJgIR0D2oz7G/4R/4l/MEoukFINJdKE4DzMgwf4twQLUMrVaLrKwsHDlyBDdu3MD48eNx3333tWqBCJibUrVaLc6fP4/KykqMHz/eokBkWRavvfYarl+/jt9//10WiHZC1hSdTFFRESZMmIBnnnkGa9assdi/rq4OJ0+eBMMwaGhowMSJE1u9QDSFiFBSUoKUlBRotVrcfvvt8Pf3t5sZSCyrzW+/Ae+9Z76NUgmcPu24HKnWOtMQgHexBrvwgnOccCxdgDVrgBdecGg2GyKCWq1GWloaOnbsiBEjRqBv375tzjxYWVmJEydO6IXahAkTLAo4IsKyZcugUqlw8uRJ9OvXzxlDbRfIUZ1Oxs/PD5GRkZgwYQL69euHd955R7R/586d0bt3b+Tl5cHX19fiemRrhGEY+Pr6ol+/flCr1UhNTUVmZqbdJkHO8WbhQp0iw/l/7NrFLxABXb/cXOCDD4B//rNFh+fFWmcaBsBX+KDp/05Y/FyxAsjJEX4jeO893Roi34VtoUA0fUkaPny4XV+S3A1PT0/06NED165dw+DBgyXVOly7di1+++03WSA6AFlTdBGJiYmYMmUK1q9fL5iX0HANcezYsbhw4QK6d++OUaNGtTrHAmvQarXIzc1Feno6vLy8MGLECPTs2bPF+zV0vAHMlRxTuDnYEU+IrWEXWgDibhd2QsrJmy7M2sGx5saNG0hJSUFVVRWCg4MxePBgi44mrRmWZXH+/HlUVFTg7rvvxrlz5yyGa/z0009YsmQJjh07ZjHMS8Z6ZKHoQqKiovDkk0/if//7H2bMmGH0HZ9TTV1dHU6dOmXkfNOWMXWsCA4OtikNHh8xMbqiDq7kdYRiIxaiA7TQggED6D1OXeZMYy0xMcDkyS3eza1bt5Cenu4Uxyt3wdCpZvz48ejcubPFOMawsDA899xzUKlUeMjVN3AbRRaKLmb37t2YP38+Dhw4oL/JxbxM6+vrcerUKXh4eGDs2LHtIq9hXV0dMjIykJeXBx8fHwQGBsLPz69FLwV864yuYAAKMBSZyIROfX0MB7Eef4PSHcMxTGnh+iHLsigsLER2djYqKioQEBCA4ODgduEw0tjYiLNnz6K+vh4hISFG5ywkGKOiovDUU0/hp59+kosFOxBZKLoBP//8MxYtWoSDBw/iwQcftOhlqtFoEB8fD5Zlcf/990tag2gLaDQa5OXlIScnByzL4rbbbpO8BsOHWNJwV+GWicD5aEGy7/r6ev3vqFAoEBgYiEGDBrV5zZCjvr4eZ86cQYcOHXDvvffynrepYIyJicHs2bOxceNGvPTSSy4YdftBFopuwrZt2/D3v/8dP/zwA/r162cx7EKr1SIxMVHvvm2ptlpbgohQXFyM7Oxs3Lp1CwMGDEBAQAB69OhhtTPGnj3ClTEcuaYoxEwchAqzXR+4b+nk9+wBnn1W8u6ICLdu3UJeXh4KCgrQs2dPBAYGwtfXt8060PBRU1OD06dP65dAxNZLOcFYUlKCxYsX4/vvv8e8efOcONr2iSwU3YhNmzZh2bJl+N///ofp06db7E+kq8JdXFyMkJCQVh+3ZQvl5eXIzc1FQUEBunbtioCAAPj7+0vWHsXMqBs2AGlpwLff2m+8hsH6V9FsdmQYIJRexavYDgYia4oMYyaoHLL+uHQpEBwM/O1v5t9xDjYSzKYNDQ1Qq9XIy8tDbW0t/P39cdttt7XLe7WiogKnT5+Gr6+vpNRtABAeHo5nn30W3377Ld544w0njFJGrpLhZmzatIm6detGMRIrC7AsS6mpqRQWFkY3btxw7ODcGI1GQ7m5uRQbG0sHDhygc+fOUWlpqaRqBHwloxjGclEIaxrD6CpfNEK300Yo6HVs0X//0YwEYi3sRAvQtRkv8n7H7VewUoUtTaHg39/ataLXk2VZKi0tpXPnztGBAwcoLi6O8vLySKPR2OvnbnVcv36dwsLCKC0tTXKFjCNHjlC3bt0oNDTUwaOTMUQWim7I1q1bydPTk44cOSJ5m+zsbFKpVFRYWOjAkbUOysvLKTk5mcLCwigiIoLOnz9PhYWFopPymjXNQlBMrjAM0fLlRAkJ1smfT+ariWWMpawGShoANQFEy/CNxZ00ArzlpDRQ0lgk0HPMHip/fYl1Qi8hQXdClk6a679mDe/102g0VFhYSOfPn6eIiAgKDw+n5ORkKi8vd9Cv3Hq4evUqqVQqysnJkbxNZGQkeXp60vbt2x03MBleZPOpm/LLL7/grbfewm+//YZZs2ZJ2qawsBDnz5/HsGHDMHTo0Ha1VsMHy7K4efMmiouLUVxcjNraWvTp0wdEA1BR0Q933NHJyAJYUKAzlX7zDf9S2iefAG+8obMahoYaJxi3hJADzWTEIBaTMRZnkYB7bTKDrsFyXMHt2IQF1sU9cgm858/XnfzmzcBnn/H3e+cdYMkSI5NpbUYGys+dQ6GnJ64yDDw8PODr6wtfX1/07NmzzYcMWYKIkJ6ejoyMDIwZMwZ+fn6Sttu3bx/mzp0rO9W4ChcLZRkR9u7dS127dqWtW7dK3ubWrVsUGRlJ586do8bGRgeOrnXBsixVVFTQP/9ZTAoF26T4sLRqVRGVlZURy7KkVoubTLla0Zb68bUBUDebOHk0RYBoK+bpTahsk7nU1HxqriUytBDrqdHWgsRKpe6EiIh27xbtx+bnU1lZGaWlpVHau+8S26RBsgoF1X7/vdUV5dsyGo2Gzp49S5GRkVYV1960aRN5enrS77//7sDRyYghC0U3JyYmhnx8fOiLL76QPOnU1tZSXFwcxcTEUE1NjYNH6J6o1URHjzbP99xnpsJMoWBp27YoioyMpM2bM0UtiNy+jh61Tf68ji2kgVIvEA3XFLk2Fgm0BOvoXiaedkz5mFiFUi8kTTuzAuZUqxu3fq1Wi5pRE9asIZVKRecPHCDW9EIaClehH6CdUFNTQzExMXT8+HGqq6uTtA3LsvT5559T9+7dKTY21sEjlBFDFoqtgAsXLpCvry/9/e9/J61WK2mbxsZG/fpOe3PA2bKlWfgpFLq/iYSF2ZEjjVRcXEyRkZeJYVgegcjSxo2N+nk+IcF2J5wBUNMkxBhpiKZNoSA6ebKB9u3bRw0nT9rX44dPU0xIIDp6lBqys6ny3//mF8AKBZUmJemsD0IXkhOuQj9AO+DGjRsUERFBSUlJVj2rixYtIj8/P0pOTnbwCGUsIa8pthJycnIwbdo0jB07Ftu3b5cUckBEyM7ORmpqKu6++24MGjTICSN1LWIVMQD+73buBMaPb14rXLCAwLLc6h5h/vw0dOlShw0bRoJlGSgUhLvuasTFix3gqGRsUVGNqK4Ow2Ndu6LDtGkOOQYBqLvzTnRJSQHDsiCGweUlS+DV2IhB33/ffGaGgfoFBcCpU7oKGdZcZAfVWHQn8vLy8Oeff2LEiBG47bbbJK3p19fX4+WXX8bFixcRGRmJwYMHO36gMuK4WCjLWEFJSQmNGTOGpk6dShUVFVZtFxYWRhcuXGjz64xSlBilslmJMXSs3LKF34KoUJB+HbK5mWuU1jahsA+lkig7u0lTzM7m72Qn7dFMK1Qq+S+AWm2sARoOXqm0rI5LDDFqjTQ2NtKFCxcoLCyMrl27Jnm78vJyeuihh+jee++l0tJSB45Qxhrat3uYBb788kuMGzcOXl5e6Nu3L5588klcuXJF//3Nmzfx9ttvY9iwYfDw8MCgQYPw97//HeXl5Ub7YRjGrO3atcuoz6effgp/f39MnDgR6enpvOPp27cvYmJiwDAMJk2ahIKCAknn0bdvX0yaNAllZWWIi4tDZWWllVei9RAUpFNsDFEqmytjzJ+vU1r27GmesQGdYrNwoU4JMrWdsCwMNEcOPi2AmhrAMCymT88Bw4gZYgjHjtXiH/9ohEJBTWMlbNjAYsAA3d9aPz9oN2wANWU+IYUCmqVLUXXkCEhEE2EZBjnTp4Nt6tM8MgtnodXyX4DTp41z4nF99uzRXVAu3ZulH6CNUVlZibi4OJSXl2Py5Mno06ePpO3y8/MxadIkdOzYEdHR0ejduzdvvw0bNuDuu++Gt7c3vL29ERISgoiICP33mzZtwuTJk+Ht7Q2GYVBWVma2j8GDB5vNP1999ZVRn82bNyMgIACjRo1CfHy89AvQBmn72aRbQGxsLBYtWoRx48ahsbERK1euxLRp05CSkgJPT08UFhaisLAQX3/9NUaMGIG8vDy8+eabKCwsxN69e432tW3bNqNKGN27d9f//+TJkwgLC8P+/fsRHx+PxYsX4/Dhw7xj8vLywsGDB7Fo0SKMHTsWf/zxB0JCQiyei6enJx544AGkpqYiNjYW99xzDwYOHGjbhXFjhGonGlru/P2B3r3N536tFrh50zxpDDfHW86RyjSZYwnjxmnRu3dvhIZWYfnybtBqzQUYEYPY2ERMmnQDd9zRBUVFnhjSORdD0y/i4odATd978NGJPwGMwugvf8LA+lxU+/mhrndv9DtzBvcLrHyQUomGb7+F/4IFYIqLgTNnwMyZIy3Jq1Kp62d6Aa5fN9+eZYE+fcwvrgNqLLoj+fn5SE5Oxm233Ybhw4dLDkE5efIknn76aTz11FP47rvvRHO++vv746uvvkJQUBCICNu3b8cTTzyBpKQk3HHHHaipqcGMGTMwY8YMfPDBB4L7+eyzz/DXv/5V/7eXl5fReaxZswa7du3C1atX8dprryElJUXSubRJXK2qtiauXbtGAES9w/bs2UOdOnUyChQHQH/88YfgNiqVip544glqaGigM2fO0Lhx4yyOhWVZ+s9//kNdu3aln376yarzKCoqovDwcDp//nybzTKiVussdkLOj/yeqOaWQ84yuHatsbVw3jxhC6appVCt1oVz8PVfvZolrVZLjY2NpNm4UR/mQNB5lnIeqgzD0qZNWtJqtTov5DVr+O2ue/aYn7SQSVOh0J2IoT157VpjG7OhrZfv4ohdYLEfoBWj0WgoMTGRwsPDqbi42KptQ0NDqWvXrrR+/Xqbj9+jRw/aYuK8FBMTQwDo1q1bZv0DAgJo3bp1gvv7888/aezYsVRVVUXZ2dk0ePBgm8fWFpCFohVkZGQQAPrzzz8F+2zevJl69+5t9BkA6t+/P/Xq1YvGjRtHoaGhRuEVDQ0NNH36dOrQoQN1797dqkw2UVFR1KNHD1q2bJlVAq6mpoaOHz9OR44cabdZRwznfqGltIQE46U0gGjBAt1cL5TVxjQLGue1+uGH/HIpIYEEwyEaoaBnsJsGQK1f2hM88Icf8odB8OWx4w6sVutOyPDzLVv4XWwZxviCtSOvUo6ysjI6cuQIHT9+3KpwJ41GQ0uWLKFevXrR0aNHbTp2Y2Mj/fbbb9SpUye6fPmy0XeWhGK/fv2oZ8+eNHLkSFqzZo3ZXPH666+TUqkkDw8P2rFjh03jayvIQlEiWq2WHnvsMZowYYJgn9LSUho0aBCtXLnS6PPPPvuMTpw4QefPn6evvvqKOnfuTN9++63Z9iUlJVRfX2/12DIyMmj48OE0ffp03odCCK1WSykpKaRSqSgzM7NdBl9zCo1Q3LqQhsfJDiGFjZNLptEJQgpb2HLx4EcuV2rq8i3iOzIcHHeCfP3XrDGX9oYnIHZB2qgGKAbLspSZmUkqlYpSU1OtelZu3LhBU6dOpTvvvJOysrKsPnZycjJ5enqSUqkkHx8fCgsLM+sjJhS/+eYbiomJoYsXL9KGDRuoe/fu9I9//MOs3/Xr19ttXLMhslCUyJtvvkkBAQGkFpgMysvL6d5776UZM2ZQQ0OD6L4++ugj8vf3t+v4ysvL6bHHHqPg4GBKS0uzatvS0lI6fPgwHT9+nKqqquw6rtYCn+wQkw3c9x99JGxCtSbzzSCF2mJWGg0U5kHzYoPjVFS+7z/+2HL6HksB+u2EyspKiouLo6ioKLp+/bpV26akpNDQoUNp9uzZVnmMG1JfX08ZGRl07tw5WrFiBfXu3dsqTdGU0NBQ6tChg+TEAu0NWShKYNGiReTv70/Z2dm831dUVFBISAg9/PDDVFtba3F/Bw8eJAB2vykbGxvp/fffJ29vb9q9e7dV22o0Grp48SKpVCrKyspql1qjqTmVC9GwNvqBM3MKCVShpDG6Kho2ZKgR2iG3vmht5QxO+PFdkHaEoXaYnJxs9fr7zp07ydvbm1auXCk5kF8KDz/8MC1YsMDoM2uE4qVLlwiA1S/P7QVZKIrAsiwtWrSI+vfvT+np6bx9ysvL6f7776dJkyZRdXW1pP2uWrWKevToYc+hGvHHH39Qjx49aOHChVabQ65du9butEbDjGR8/iFCVkYxGWXomCNFjnFrmgOgpmewhxZgg7mA1AVMShOIXP+1a60TiqYZaAwvSDtK3cZph4cPH7Y6hrC6upreeOMN6tmzJx04cMDuY5syZQrNmzfP6DNrhOKOHTtIoVDQzZs37T62toAsFEV46623yMfHh44dO0ZFRUX6xgma8vJyuu++++iuu+6izMxMoz5ckPyBAwdo8+bN9Oeff1JGRgatX7+eunbtSh9//LFDx56bm0shISF01113UWpqqlXbtietUWpGMrWaaOHClitvht+bKmHGihmry30q3kmakJM66IULhQVeO0ndZqgdXrx40Wrt8PLly3THHXfQhAkTKD8/v8XjWbFiBcXGxlJOTg4lJyfTihUriGEYOnz4MBHpPMmTkpJo8+bNBIDi4uIoKSlJn9rx1KlTtG7dOrpw4QJlZWXRjh07qE+fPvTKK6+0eGxtFVkoigCAt23bto2Imt/O+BpXOy0iIoJGjhxJ3bp1I09PT7rnnnvoxx9/tKs5RYiGhgZ6//33qVu3blaHbRA1a42xsbFWOfC0FoTWEYXkgtRE4FIVMz6fFU4xM8poI9RJbMHTliaUdcbaC9VKuXXrFsXGxtqkHbIsS6GhoeTp6UkrV660W6jT66+/TgEBAdSpUyfq06cPPfzww3qBSET0ySefiM5RiYmJdN9995GPjw916dKFhg8fTl988YW8niiCnPu0HXDo0CG88sorePTRR/HDDz+gW7dukrdtbGxERkYGsrKyMHDgQAwfPlxS3tXWQEwM8JB5iUPExACTJ+v+X1AAZGToErUA5mk9TTEN/BdCoQDy8oRj2jUaDcLDwzFz5kzh4O6CAmDQIGkHtIRh7lLuhLnBSblQrZiGhgakpqZCrVZj6NChCAoKgrIpg5AUKisr8dZbbyEqKgq//PILpjkoV62Mc5DTvLUDZsyYgQsXLiA/Px9jx47F2bNnJW/boUMHDB8+HJMnT0ZNTQ2io6ORl5eHtvAuZSkjWWioTgg+9JBO9nz7LbB6ta4PoNvWNNOalLrODKNL+tLiJC/+/rrCwNYWk1YqdRlnuBNRKoGvvtKd4KBBuhMOCNBdAKDNpm4jIuTl5SE6Ohq1tbWYMmUKbr/9dqsEYnx8PMaOHYuioiJcvHhRFohtAFlTbEdotVqsXr0aq1atwtKlS/HJJ5+gc+fOkrcnIhQXF+PPP/9Ely5dcPfddxulq2uNhIaaZyTjikHwaYUKBfDBB0CvXkCXLsDf/ma+T740cWfONCtiISGWBaIkTZGjoECXmxQABg8G7rvPsvYYEwN4egInTgA3bgBffml+sobVLYQuVCvl1q1bSE5ORkNDA+688074+vpKqmrBUVdXh08++QTfffcdPv74Y7z77rtWCVMZN8aFplsZF5GcnEyjR4+mO+64g86ePWv19hqNRh/0f+HCBUlhKO6GJY9TKeuHQpnP1qyxPpLB1LGzoaFpTZGLebXG81OoFIjpIKU44RiuM7YBT9Ta2lpKSkrSB+HbUjUmPj6ehg8fTmPHjqVLly45YJQyrkQWiu2UhoYG+vzzz8nDw4NWrlxp08J7ZWUlxcfHk0qlopSUFItJC9wFKY6UUuMThTKfcflOd++2LDf4xmMkFK31/OSCJLk4RVOPVUvxIpacaVqhJ2pDQwNdvnyZVCoVJSQk2BRuVFdXRytWrCAPDw/65z//2WbzBrd3ZKHYzrl48SKNGjWK7rzzTjp37pxN+7hx4wadOHGCwsPDKSMjw61rNlrjSCk1PpHPi9SS3OAULb40phbrKXJ5S/k0NaEDG2p5UtRga94W3NgTtbGxkTIyMigsLIxOnDhhc2xeQkICjRgxgsaMGSOa+1im9SMLRRlqaGigTz/9lDw8PGjFihU2vUWzLEvFxcV09OhRioyMpNzcXLeMb7S2Bq5aTbR8uXBIIJ88sCQ3TGv18u03KkpD+/btI83hw8IqKp/gkyKwxNRgpVJ3wtbGpbhZEWGtVku5ubl06NAhiomJoZKSEpvux6qqKnrvvffIw8ODVq1a1WqsITK2IwtFGT0XLlygkJAQGjhwIO3du9emSYRlWVKr1XT48GGKjo6mgoICtxKOtio6nKIlZb1QTG5IMcsqFCaaoqXAR0t5TvkElqlJdc0aaYm+3VxTZFmWCgoK6MiRIxQVFUVqtdrm+3jPnj3k7+9PEyZMoOTkZAeMVsYdkYWijBFarZa2bt1Kffr0oWnTptGVK1ds3k92djZFRkZSVFQU5ebmOiVhgRRamtLTllqNluSWYVu+3GRNcflyyxsJSVxH1Dx0w5yojY2NlJOTQ1FRURQZGUnZ2dk232+pqak0depU6tu3L23fvt2tXupkHI8sFGV4uXnzJi1atIi6dOlCH3zwgc15ULVaLeXl5dGRI0fo0KFDlJmZ6RYOCo6ugSskNyxpipwMMxKKUjcSO7C9cZMiwhqNhjIyMujQoUMUHR1N+fn5NgvDyspKev/996lLly7097//vU1mcZKxjBynKCNKUlISFi1ahIKCAqxbtw5PP/20VfFcHESEoqIiZGRkoLq6GoGBgQgMDGwT2XEMs94Yxh8WFACZmboYd8PPDUP+FIpm6WYY/mcWp2i4EcPoGsvyxwwKHVhooK2QhoYGZGdnIzs7G56enggODrY61pCDiLB3714sW7YMAQEB+OGHH3DPPfc4YNQyrQFZKMpYhGVZ/Pzzz3jvvfcwYsQIfPXVV7j//vtt2hcRobS0FBkZGbh16xYGDhyIwMBAeHl52XnUziE0FFiwQCefFApdphopMe2Gcgswl2G8wfuWNnLEQN2MiooK5OTkQK1Wo2fPnggKCkLv3r1tEoYAcPr0aaxYsQJpaWlYu3YtXn75ZZv3JdM2kIWijGTKy8uxdu1a/Pvf/8a0adPwz3/+E8OHD7d5f7du3UJOTg6uXr2Knj17IjAw0Oa3fVfAl/XGMAlMS7Aqo40lHDlQJ8CyLIqLi5GTk4ObN29iwIABCAwMbFE2pZSUFKxcuRJHjhzBsmXL8M4778DHx8d+g5Zptci5T2Uk4+Pjg1WrViEjIwO+vr4YNWoU3njjDajVapv216NHD4wePRrTpk1Dnz59kJycjMOHD+PKlSuora218+jtT0aGeWY0rVanwLkVrWagxtTW1iItLQ1RUVG4dOkS+vTpg2nTpmH06NE2C8T8/Hy89tprGD16NPz9/ZGVlYXPPvtMFogyemShKGM1fn5+WL9+PS5duoSqqioMGzYM7777Lm7evGnT/jp37ozg4GA88sgjuPvuu3Hz5k1ERUUhPj4eRUVFYMXKUriQVpMnu9UMVJeft6ioCPHx8YiKikJZWRnuuecePPLIIwgODrYqV68hN27cwDvvvINhw4ahvr4ely9fxvfff49+/frZ+QxkWjuyUJSxmaFDh2LXrl04fvw4Ll68iMDAQHz66ac2C0eFQgE/Pz+EhIRg6tSp8Pb2xqVLl3Do0CFcvHgRN27cgDtZ+/39dUtzhsUmNm50Q4ukmw+UiHD9+nVcuHABkZGRuHTpEry9vTF16lTcf//9LTKp37hxA5988gkCAwNx+fJlnDp1Cjt37sSQIUPsfBYybQV5TVHGbhw9ehSrVq1CQkIC3nzzTSxbtgz9+/dv0T6JCDdv3kRBQQGuXr2KDh06wN/fH/7+/vD29rbTyFuGkLNnS7DrmiKHIwbaAioqKlBQUICCggJotVr0798fAwcORI8ePVq8rnz16lV888032LRpE+6//378v//3/zC5DdR+lHE8slCUsTvx8fH48ssvERkZiZdffhnvvfcehtrBVMeyLEpKSlBQUIDi4mJ4eXmhf//+8PX1hZeXV6tx0JGCQ4SiiyEiVFZWoqioCEVFRaisrISfnx/8/f3Rt29fKExNvDaQkZGB1atXY8eOHZg5cyY++OADjBs3zg6jl2kvdHD1AGTaHvfddx/27duHy5cvY/Xq1bjzzjvx1FNPYcWKFS2K/+LMq35+ftBoNPrJNT09HZ07d4avry98fX3Rq1cvu0ywMi2HZVlcv34dxcXFKC4uRkNDA/r06YPAwED4+fnZTeAnJSXhq6++wv79+zFnzhwkJSW1yDNapv0ia4oyDic3Nxdff/01tm7digcffBBvv/02Hn30UbsJLq1Wi9LSUv3Eq9Vq0a9fP/j6+qJv374uSxAgKVZeoJOQptiSfTqLhoYGlJSUoLi4GNeuXUOHDh30Lyy9e/e2WzFerVaLiIgIfPfddzh+/DjeeOMNvPPOOwgICLDL/mXaJ7JQlHEa165dw8aNG7FhwwZ4eHhg0aJFeO2119CjRw+7HYOIUFZWpheQFRUV8Pb2Ru/evdG7d2/06tXLKUJSUqy8SCc+odjSfTqKhoYGXL9+HTdu3MD169dRUVEBHx8fvSD08fGxq2n71q1b2Lp1K3744QfU19fjrbfewsKFC9GnTx+7HUOm/SILRRmno9Fo8Mcff+C7775DYmIi5syZgzfffBPjxo2z+7pgXV2dfrK+ceMGKisr4ePjg169ejlMSEqKlbfQyVQo2mOf9qKhoUF/TTkh6OXlZfTiYWvohBBEhPj4eGzcuBG7d+/GuHHjsHjxYjz55JNtZs1Vxj2Q1xRlnE7Hjh3x3HPP4bnnnkNycjI2btyIqVOnYsiQIVi4cCGef/55u2mPXbp0wYABAzBgwAAAxkIyNTUVlZWV8PT0hI+PD7p3747u3bvDx8enRYJSLFZeL5skdXLsPqXQ0NCAsrIylJeXo6ysDGVlZaipqdELwWHDhjlECHLcunULu3btwsaNG5GTk4OXX34Z8fHxuOuuuxxyPBkZWVOUcQuqqqqwa9cubNq0CRcvXsTjjz+Ol156CY899pjDJlwAqK+vN5rwy8vLUVNTg65du+oFpLe3N7p164auXbtKWgdtjZoiy7KoqalBVVUVKioq9NfE9Fpw/zryN6mrq0NYWBh27NiB8PBwjBw5EgsWLMCcOXPg6enpsOPKyACyUJRxQ9LT0/Hrr79ix44duHnzJp555hnMnTsXDzzwgFO8SjntiBOSlZWVqK6uBhGha9eu6Natm755enqiW7du6Ny5s35soaHAX/+qq3wBWFj/4ypfmFS7EFpTFOhuvE9uTRHQVdPYvBmYPx8sy6Kurg7V1dWoqqrS/1tVVYWamhowDANPT094eXkZCUFnrMGyLIvY2Fj8+uuv2Lt3L/r06YO5c+fixRdfRFBQkMOPLyPDIQtFGbeFW0fasWMHdu/eDQ8PD7z44ot4/vnnMXLkSKfGJRIRamtr9UKEa9XV1aipqQGgS1dXUeGNF14IAcs2j02hIFy4UIaBAxl06NBB35RKJZirV3kD6sW8TzMzgSFDCH5+WjQ2Nhq33Fz0u/deMAaPNSkUOPbTT6hoSnbACXZOoHPNw8PD6dc0KSkJu3fvxs6dO1FfX485c+bgpZdewr333tum4k5lWg+yUJRpFWg0Ghw+fBi//vorVCoVevTogVmzZmHWrFmYMmWKQ815lmBZFvX19airq0N0NItnn+1l1mft2nO4445SNDY2GuVy5YRjhw4d9JomJww4BxbD4zQ2NkKr1QlDDoVCoRe0fS5dwshly8yOX3ngADpMnWqk0bqCuro6xMTE4MCBAzh48CDKy8sxa9YszJ07F1OnTpWdZmRcjiwUZVod9fX1OHbsGFQqFQ4cOIBbt25h2rRpmD17NmbOnOlS13wpy3qccDNt3KNIRGhsbERiYiLGjBmjFxQMY6xpcs1IyLlhmajS0lKEhYXhwIEDOHz4MHr16oXZs2dj9uzZmDRpUpsoNC3TdpCFokyrhoiQnJyMAwcOQKVS4fz587j//vvxyCOPYPLkybjvvvvQpUsXp45J0tqfBVqU5s0eA2gBdXV1OHPmDI4dO6avdjJmzBjMmjULs2fPxl133SWbRmXcFlkoyrQpCgsLER4ejqNHjyImJgZlZWUICQnB5MmT9ULSGabWlubebnHuUycm/66rq0N8fDyOHTuGY8eO4fTp0+jZsyemTJmCKVOm4LHHHoOfn59DxyAjYy9koSjTZiEipKen6yfrmJgYlJeXIyQkBJMmTcK4ceMwZswYt6yp584JwUtKSpCYmIiEhATExsbi9OnT6NGjB6ZMmaJ/+QgKCpK1QZlWiSwUZdoNRIQrV67g2LFjiIuLw7lz55CRkYEBAwZgzJgxRs3X19elY3UXoVhUVITExESjVlhYiODgYIwdOxYPPvggJk+ejODgYFkIyrQJZKEo066pqKhAUlKS0aSfnp4OPz8/jBo1CrfffjuCg4P1zc/PzymTvzOFIhGhsLAQ6enpyMjIQHp6OtLS0nD+/HkUFxdj2LBh+peF0aNHY9SoUW5Ty1JGxt7IQlFGxoTKykpcuHABFy5cQHp6ur7l5eWha9euRkJyyJAh6N+/P/r37w8/Pz+7FMgF7CsUuULNXKmtwsJCZGZm6s8rIyMDNTU1CAgIMDq3kSNHYuTIkUZhITIybR1ZKMrISKSurs5ImKSnpyMrKwuFhYUoKipCdXW1vq4jJyT9/PzQr18/fao4Ly8veHl56f/P/evp6akPr1AoFNBqtQgPD8eMGTOgVCr1YRzV1dWorKxEVVWV0b/c/ysqKlBSUqIfU1FREYqLi1FfX49u3brpxzR06FAz4e5sL10ZGXdEFooyMnbCsKo8p5EVFRWhpKREUJBVVlYaBeJLoUOHDnrhaihYuf/369fPSChzTdb4ZGQsIwtFGRkXU19fj+rqami1WrAsC5ZlodVqwTCMXnNUKBRQKpXw9PR0afYeGZm2jiwUZWRkZGRkmnBdEkQZGRkZGRk3QxaKMjIyMjIyTchCUUZGRkZGpglZKMrIyMjIyDQhC0UZGRkZGZkmZKEoIyMjIyPThCwUZWRkZGRkmpCFooyMjIyMTBOyUJSRkZGRkWlCFooyMjIyMjJNyEJRRkZGRkamCVkoysg4iC+//BLjxo2Dl5cX+vbtiyeffBJXrlzRf5+bmwuGYXjbf//7X32//Px8PPbYY+jatSv69u2Ld99916yyxqeffgp/f39MnDgR6enpTjtHGZm2hiwUZWQcRGxsLBYtWoQzZ84gKioKGo0G06ZNQ3V1NQBg4MCBRqWmioqK8Omnn6Jbt2549NFHAQBarRaPPfYYGhoacOrUKWzfvh0//fQTPv74Y/1xTp48ibCwMOzfvx8vvvgiFi9e7JLzlZFpC8hVMmRknERpaSn69u2L2NhYPPjgg7x9Ro0ahdGjRyM0NBQAEBERgccffxyFhYXo168fAODHH3/E+++/j9LSUnTq1AkHDx7Eli1b8N///hfnz5/H22+/jYSEBKedl4xMW0LWFGVknER5eTkAoGfPnrzfJyYm4sKFC5g/f77+s9OnT+Ouu+7SC0QAmD59OioqKnD58mX933V1dejatStmzJiBL7/80oFnISPTtung6gHIyLQHWJbF0qVLMWHCBNx55528fUJDQzF8+HCMHz9e/1lxcbGRQASg/7u4uBgA0LFjRxw6dAjXrl1D9+7d0alTJwedhYxM20cWijIyTmDRokW4dOkSTpw4wft9bW0tdu7ciY8++sjmY/Tt29fmbWVkZHTI5lMZGQezePFiHDx4EDExMfD39+fts3fvXtTU1OCVV14x+tzX1xclJSVGn3F/+/r6OmbAMjLtGFkoysg4CCLC4sWL8ccff+Do0aO47bbbBPuGhoZi9uzZ6NOnj9HnISEh+PPPP3Ht2jX9Z1FRUfD29saIESMcNnYZmfaK7H0qI+Mg/va3v2Hnzp3Yv38/hg0bpv/cx8cHHh4e+r8zMzMRHByM8PBwzJgxw2gfWq0WI0eORP/+/bFmzRoUFxfj5ZdfxhtvvIEvvvjCaeciI9NekIWijIyDYBiG9/Nt27bh1Vdf1f+9cuVK7NixA7m5uVAozI037GJcpAAAAKNJREFUeXl5eOutt3Ds2DF4enpi3rx5+Oqrr9Chg+wSICNjb2ShKCMjIyMj04S8pigjIyMjI9OELBRlZGRkZGSakIWijIyMjIxME7JQlJGRkZGRaUIWijIyMjIyMk3IQlFGRkZGRqYJWSjKyMjIyMg0IQtFGRkZGRmZJmShKCMjIyMj04QsFGVkZGRkZJqQhaKMjIyMjEwTslCUkZGRkZFp4v8D4jWu2q86BvYAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# visualization of data SDP 97.mat\n",
        "z =35\n",
        "t =2\n",
        "for i in range(0,7):\n",
        "      r = ((c1 - c1min)/(c1max - c1min))\n",
        "      r = r[:len(c1)-t]\n",
        "      theta = (60*i + (((c1-c1min)/(c1max-c1min))*z))\n",
        "      phi = (60*i - (((c1-c1min)/(c1max-c1min))*z))\n",
        "      theta = theta[t:]\n",
        "      phi = phi[t:]\n",
        "      plt.polar(theta*(np.pi/180),r ,'.', c='blue')\n",
        "      plt.polar(phi*(np.pi/180),r ,'.', c='red')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "vkrPQ4d79FOm",
        "outputId": "c84d76a5-9ddb-48bd-c5f2-b1130a4b8f3d"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1600\n",
            "0.4830236363636364 -0.4563145454545455 0.03092771477272727\n"
          ]
        }
      ],
      "source": [
        "cslice = c1[:2002]\n",
        "print(len(cslice))\n",
        "xmax = np.max(cslice)\n",
        "xmin = np.min(cslice)\n",
        "xmean = np.mean(cslice)\n",
        "x = cslice\n",
        "print(xmax,xmin,xmean)\n",
        "t = 2\n",
        "z = 35\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "V-V8h92ggq_J",
        "outputId": "64d4f5a2-bb20-488e-87b5-548439754e89"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(0.0, 6.283185307179586, -0.5293963254593175, 1.8014873140857393)"
            ]
          },
          "execution_count": 10,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "c1 =np.array( mat[\"X164_FE_time\"])\n",
        "c2 = np.array(mat[\"X164_DE_time\"])\n",
        "temp = ((c1-c1min)/(c1max-c1min))*z\n",
        "th0 = 0 + (temp)\n",
        "th60 = 60 + temp\n",
        "th120 = 120 + temp\n",
        "th180 = 180 + temp\n",
        "th270 = 270 +temp\n",
        "r = ((c1 - c1min)/(c1max - c1min))\n",
        "r = r[:len(c1)-t]\n",
        "th0 = th0[t:]\n",
        "\n",
        "th60 = th60[t:]\n",
        "th120 = th120[t:]\n",
        "th180 = th180[t:]\n",
        "th270 = th270[t:]\n",
        "\n",
        "plt.polar(th0*(np.pi/180),r,\".\",c=\"blue\")\n",
        "plt.polar(th60*(2*np.pi/180),r,\".\",c=\"blue\")\n",
        "plt.polar(th0*(2*np.pi/180),r,\".\",c=\"blue\")\n",
        "plt.grid(False)\n",
        "plt.axis('off')\n",
        "# theta = (60*i + (((c1-c1min)/(c1max-c1min))*z))\n",
        "# phi = (60*i - (((c1-c1min)/(c1max-c1min))*z))\n",
        "# theta = theta[t:]\n",
        "# phi = phi[t:]\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "FR7yjPgUCgb-",
        "outputId": "23ae715b-6716-484f-fc99-057a9287c70a"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "484483\n"
          ]
        }
      ],
      "source": [
        "print(len(c1))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "ii8cubpUC_jZ",
        "outputId": "bb0024a0-b70d-45e0-e247-81022006b9ee"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "r = []\n",
        "theta = []\n",
        "phi = []\n",
        "angle = 1\n",
        "fig  = plt.figure()\n",
        "for i in range(0,1200):\n",
        "  xi = x[i]\n",
        "  r.append(((xi-xmin)/(xmax-xmin)))\n",
        "  theta.append(angle*60 + (((x[i+t]-xmin)/(xmax-xmin))*z))\n",
        "  phi.append(angle*60 - (((x[i+t]-xmin)/(xmax-xmin))*z))\n",
        "  \n",
        "  # fig.add_subplot(projection='polar')\n",
        "  plt.polar(theta,r,'*', c='blue')\n",
        "  plt.style.use('ggplot')\n",
        "plt.show() \n",
        "\n",
        "  "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 303
        },
        "id": "PXHf892y_qGJ",
        "outputId": "04fef535-5da9-4c65-f4e3-60cd8663b860"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[]"
            ]
          },
          "execution_count": 14,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.polar()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 340
        },
        "id": "qmBvz2ewGwqF",
        "outputId": "806b1cff-e012-4f1d-80e5-75572e484c86"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "fig = plt.figure()\n",
        "ax = fig.add_subplot(111, projection='polar')\n",
        "bx = fig.add_subplot(111, projection='polar')\n",
        "c = ax.scatter(theta, r,c='blue')\n",
        "d = ax.scatter(phi,r ,c='red')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "8li7szSwj0lP",
        "outputId": "4b1a35ac-772f-4b53-f01d-6d716568b64a"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "\n",
        "for i in range(0,7):\n",
        "    r = ((c1 - c1min)/(c1max - c1min))\n",
        "    r = r[:len(c1)-t]\n",
        "    theta = (60*i + (((c1-c1min)/(c1max-c1min))*z))\n",
        "    phi = (60*i - (((c1-c1min)/(c1max-c1min))*z))\n",
        "    theta = theta[t:]\n",
        "    phi = phi[t:]\n",
        "    plt.polar(theta*(np.pi/180),r ,'.', c='blue')\n",
        "    plt.polar(phi*(np.pi/180),r ,'.', c='red')\n",
        "        # print(r)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WAggMOUAe9q9"
      },
      "source": [
        "# Creating SDP of sin waves\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 131
        },
        "id": "xyhkKlgDwbV9",
        "outputId": "16ba7563-bcf3-4a74-ff9c-4f389a883715"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(0.0, 1.0)"
            ]
          },
          "execution_count": 17,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1200x600 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "time = np.arange(0,10,1/2400)\n",
        "amp = np.sin(2*np.pi*time*50)\n",
        "fig = plt.figure()\n",
        "fig.set_size_inches(12,6)\n",
        "plt.subplots_adjust(hspace=1)\n",
        "\n",
        "plt.subplot(311)\n",
        "# plt.plot(x, sampled_f1)\n",
        "plt.plot(time,amp)\n",
        "plt.xlim(0, 1)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "DMk9VP3Mw0AK",
        "outputId": "ee089d01-31cf-4849-86e4-d3442f7fdae0"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# SDP OF SIN WAVE\n",
        "for i in range(1,7):\n",
        "    rs = (amp - np.min(amp))/(np.max(amp)- np.min(amp))\n",
        "    th = (60*i + ((amp - np.min(amp))/(np.max(amp)- np.min(amp))*35))\n",
        "    ph = (60*i - ((amp - np.min(amp))/(np.max(amp)- np.min(amp))*35))\n",
        "    th = th[2:]\n",
        "    ph = ph[2:]\n",
        "    rs = rs[:len(rs)-2]\n",
        "    plt.polar(th*(np.pi/180),rs,'.', c='blue')\n",
        "    plt.polar(ph*(np.pi/180),rs,'.', c='red')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "i1NYDiMyfMe3"
      },
      "source": [
        "Downloading data set\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "id": "2qvkVPDERWJk"
      },
      "outputs": [],
      "source": [
        "# linklst = [\"https://engineering.case.edu/sites/default/files/105.mat,https://engineering.case.edu/sites/default/files/106.mat\"]\n",
        "# for i in linklst : \n",
        "\n",
        "#       # !wget i\n",
        "#       # update scipy\n",
        "mat = scipy.io.loadmat('105.mat')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WaO3eHiOfWlk"
      },
      "source": [
        "#Making Multiple Directories\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "id": "xXWMrXfQliLU"
      },
      "outputs": [
        {
          "ename": "FileNotFoundError",
          "evalue": "[Errno 2] No such file or directory: '/content/drive/MyDrive/MP(Inner-Outer)/48kpart2/z=39, t=3'",
          "output_type": "error",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mFileNotFoundError\u001b[0m                         Traceback (most recent call last)",
            "Cell \u001b[0;32mIn[20], line 11\u001b[0m\n\u001b[1;32m      9\u001b[0m name\u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mz=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;241m+\u001b[39m\u001b[38;5;28mstr\u001b[39m(z)\u001b[38;5;241m+\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m, t=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;241m+\u001b[39m\u001b[38;5;28mstr\u001b[39m(t)\n\u001b[1;32m     10\u001b[0m path \u001b[38;5;241m=\u001b[39m os\u001b[38;5;241m.\u001b[39mpath\u001b[38;5;241m.\u001b[39mjoin(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m/content/drive/MyDrive/MP(Inner-Outer)/48kpart2\u001b[39m\u001b[38;5;124m'\u001b[39m, name)\n\u001b[0;32m---> 11\u001b[0m \u001b[43mos\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mmkdir\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpath\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m     12\u001b[0m a \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124m/content/drive/MyDrive/MP(Inner-Outer)/48kpart2/\u001b[39m\u001b[38;5;124m'\u001b[39m \u001b[38;5;241m+\u001b[39m name\n\u001b[1;32m     13\u001b[0m path \u001b[38;5;241m=\u001b[39m os\u001b[38;5;241m.\u001b[39mpath\u001b[38;5;241m.\u001b[39mjoin(a, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mInner\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n",
            "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '/content/drive/MyDrive/MP(Inner-Outer)/48kpart2/z=39, t=3'"
          ]
        }
      ],
      "source": [
        "#Making Multiple Directories\n",
        "import os\n",
        "\n",
        "ztlist =[(39, 3), (41, 6), (39, 5), (17, 2), (17, 3), (29, 4), (46, 6), (14, 4), (43, 5), (31, 4), (10, 7), (12, 3), (42, 2), (56, 8), (49, 2), (59, 3), (49, 4),(51, 4), (49, 10), (47, 8), (15, 7), (13, 4), (34, 2), (29, 3), (40, 4), (12, 8)]\n",
        "\n",
        "for items in ztlist:\n",
        "  z=items[0]\n",
        "  t=items[1]\n",
        "  name= \"z=\"+str(z)+', t='+str(t)\n",
        "  path = os.path.join('/content/drive/MyDrive/MP(Inner-Outer)/48kpart2', name)\n",
        "  os.mkdir(path)\n",
        "  a = '/content/drive/MyDrive/MP(Inner-Outer)/48kpart2/' + name\n",
        "  path = os.path.join(a, \"Inner\")\n",
        "  os.mkdir(path)\n",
        "  path = os.path.join(a, \"Outer\")\n",
        "  os.mkdir(path)\n",
        "  \n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LpzPRrLhfb5o"
      },
      "source": [
        "## RANDOM WALK"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BBOH-ydteRVl",
        "outputId": "4a0fda12-8ba3-42d3-859a-0c106dd38e28"
      },
      "outputs": [],
      "source": [
        "import random\n",
        "import itertools\n",
        "from itertools import permutations\n",
        " \n",
        "# initialize lists\n",
        "zvalues = [i for i in range(10,61)]\n",
        "tvalues =[i for i in range(2,11)]\n",
        " \n",
        "# create empty list to store the\n",
        "# combinations\n",
        "combinations = [(z,t) for z in zvalues for t in tvalues]\n",
        "choice = [random.choice(combinations) for _ in range(40)]\n",
        "print(len(choice))\n",
        "print(choice)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QyIT9w-ej4mx"
      },
      "source": [
        "## VALUES TAKEN FROM RANDOM WALK ARE :\n",
        "\n",
        "(39, 3), (41, 6), (39, 5), (17, 2), (17, 3), (29, 4), (46, 6), (14, 4), (43, 5), (31, 4), (10, 7), (12, 3), (42, 2), (56, 8), (49, 2), (59, 3), (49, 4), (51, 4), (49, 10), (47, 8), (15, 7), (13, 4), (34, 2), (29, 3), (40, 4), (12, 8)\n",
        "\n",
        "Currently generated images from : \n",
        "\n",
        "ztlist = [[35,2],[30,2],[40,2],[30,9],[50,2],[30,7],[35,9],[35,7],[60,2],[40,7],[40,9],[60,1]]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "background_save": true,
          "base_uri": "https://localhost:8080/"
        },
        "id": "DCekNsPXAq_-",
        "outputId": "6c70dee1-4154-4fd0-b691-6b32246bff5c"
      },
      "outputs": [],
      "source": [
        "# int(len(c1)/1600 + 1\n",
        "#Devam 1 run Outer \n",
        "import scipy.io\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "# !wget https://engineering.case.edu/sites/default/files/135.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/136.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/137.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/138.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/148.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/149.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/150.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/151.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/164.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/163.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/162.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/161.mat\n",
        "#for OR @3 48k nlist = [148,149,150,151]\n",
        "nlist = [135,136,137,138,161, 162,163, 164,148,149,150,151]\n",
        "# nlist = [109,110,111,112]\n",
        "# ztlist = [[35,2],[30,2],[40,2],[30,9],[50,2],[30,7],[35,9],[35,7],[60,2],[40,7],[40,9],[60,1]]\n",
        "\n",
        "ztlist =[(39, 3), (41, 6), (39, 5), (17, 2), (17, 3), (29, 4), (46, 6), (14, 4)]\n",
        "# , (43, 5), (31, 4), (10, 7), (12, 3), (42, 2), (56, 8), (49, 2), (59, 3), (49, 4),...\n",
        "        #  (51, 4), (49, 10), (47, 8), (15, 7), (13, 4), (34, 2), (29, 3), (40, 4), (12, 8)] \n",
        "for item in ztlist: \n",
        "  for x in nlist:\n",
        "    matstr = str(x) + \".mat\"\n",
        "    # update scipy\n",
        "    mat = scipy.io.loadmat(matstr)\n",
        "    def sdp(c1):\n",
        "      z = item[0]\n",
        "      t = item[1]\n",
        "      c1max = np.max(c1)\n",
        "      c1min = np.min(c1)\n",
        "      c1mean = np.mean(c1)\n",
        "      #c1 = (c1 - c1mean )/ max(abs(c1- c1mean)) \"MENTIONED IN PAPER BUT NOT TAKEN AS IT IS NOT REQUIRED\" \n",
        "      for i in range(0,7):\n",
        "          r = ((c1 - c1min)/(c1max - c1min))\n",
        "          r = r[:len(c1)-t]\n",
        "          theta = (60*i + (((c1-c1min)/(c1max-c1min))*z))\n",
        "          phi = (60*i - (((c1-c1min)/(c1max-c1min))*z))\n",
        "          theta = theta[t:]\n",
        "          phi = phi[t:]\n",
        "          plt.polar(theta*(np.pi/180),r ,'.', c='blue')\n",
        "          plt.polar(phi*(np.pi/180),r ,'.', c='red')\n",
        "          plt.grid(False)\n",
        "          plt.axis('off')\n",
        "\n",
        "    c1 =np.array( mat[\"X\" + str(x) + \"_DE_time\"])\n",
        "    c1max = np.max(c1)\n",
        "    c1min = np.min(c1)\n",
        "    c1mean = np.mean(c1)\n",
        "    for j in range( int(len(c1)/1600)):\n",
        "        x = c1[j*1600:j*1600 + 1600]\n",
        "        sdp(x)\n",
        "        # /content/drive/MyDrive/MP(Inner-Outer)/48k part 2\n",
        "        plt.savefig(\"./48kpart2/\"+\"Inner/\"  +\"48kIR_\" + str(item[0]) + \",\" + str(item[1]) + \"_\" + str(j))\n",
        "        plt.clf()\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "background_save": true,
          "base_uri": "https://localhost:8080/"
        },
        "id": "txD0QBSecnoR",
        "outputId": "f51cf5c4-18c3-4180-b9d7-79286cccf497"
      },
      "outputs": [],
      "source": [
        "# int(len(c1)/1600 + 1\n",
        "#Shyam 1 Outer \n",
        "import scipy.io\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "# !wget https://engineering.case.edu/sites/default/files/135.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/136.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/137.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/138.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/148.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/149.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/150.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/151.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/164.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/163.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/162.mat\n",
        "# !wget https://engineering.case.edu/sites/default/files/161.mat\n",
        "#for OR @3 48k nlist = [148,149,150,151]\n",
        "nlist = [135,136,137,138,161,162,163, 164,148,149,150,151]\n",
        "# nlist = [109,110,111,112]\n",
        "# ztlist = [[35,2],[30,2],[40,2],[30,9],[50,2],[30,7],[35,9],[35,7],[60,2],[40,7],[40,9],[60,1]]\n",
        "\n",
        "ztlist =  [(43, 5), (31, 4), (10, 7), (12, 3), (42, 2), (56, 8), (49, 2), (59, 3), (49, 4)]\n",
        "# [(39, 3), (41, 6), (39, 5), (17, 2), (17, 3), (29, 4), (46, 6), (59, 3), (49, 4),...\n",
        "#  (51, 4), (49, 10), (47, 8), (15, 7), (13, 4), (34, 2), (29, 3), (40, 4), (12, 8)] \n",
        "for item in ztlist: \n",
        "  for x in nlist:\n",
        "    matstr = str(x) + \".mat\"\n",
        "    # update scipy\n",
        "    mat = scipy.io.loadmat(matstr)\n",
        "    def sdp(c1):\n",
        "      z = item[0]\n",
        "      t = item[1]\n",
        "      c1max = np.max(c1)\n",
        "      c1min = np.min(c1)\n",
        "      c1mean = np.mean(c1)\n",
        "      #c1 = (c1 - c1mean )/ max(abs(c1- c1mean)) \"MENTIONED IN PAPER BUT NOT TAKEN AS IT IS NOT REQUIRED\" \n",
        "      for i in range(0,7):\n",
        "          r = ((c1 - c1min)/(c1max - c1min))\n",
        "          r = r[:len(c1)-t]\n",
        "          theta = (60*i + (((c1-c1min)/(c1max-c1min))*z))\n",
        "          phi = (60*i - (((c1-c1min)/(c1max-c1min))*z))\n",
        "          theta = theta[t:]\n",
        "          phi = phi[t:]\n",
        "          plt.polar(theta*(np.pi/180),r ,'.', c='blue')\n",
        "          plt.polar(phi*(np.pi/180),r ,'.', c='red')\n",
        "          plt.grid(False)\n",
        "          plt.axis('off')\n",
        "\n",
        "    c1 =np.array( mat[\"X\" + str(x) + \"_DE_time\"])\n",
        "    c1max = np.max(c1)\n",
        "    c1min = np.min(c1)\n",
        "    c1mean = np.mean(c1)\n",
        "    for j in range( int(len(c1)/1600)):\n",
        "        x = c1[j*1600:j*1600 + 1600]\n",
        "        sdp(x)\n",
        "        # /content/drive/MyDrive/MP(Inner-Outer)/48kpart2\n",
        "        plt.savefig(\"./48kpart2/\"+\"Outer/\"  +\"48kOR_\" + str(item[0]) + \",\" + str(item[1]) + \"_\" + str(j))\n",
        "        plt.clf()\n",
        "\n",
        "\n"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "include_colab_link": true,
      "name": "Minor Project review 1",
      "provenance": []
    },
    "kernelspec": {
      "display_name": "LD_Env",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.9.2"
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